947980260864000 has 5200 divisors, whose sum is σ = 4429645487473440. Its totient is φ = 200013417676800.

The previous prime is 947980260863981. The next prime is 947980260864017. The reversal of 947980260864000 is 468062089749.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

947980260864000 is a `hidden beast` number, since 9 + 4 + 7 + 98 + 0 + 2 + 60 + 86 + 400 + 0 = 666.

947980260864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 947980260864000 = 23920³ + 97760³ = 65520³ + 87360³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 72921558527994 + ... + 72921558528006.

Almost surely, 2^{947980260864000} is an apocalyptic number.

947980260864000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947980260864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214822743736720).

947980260864000 is an abundant number, since it is smaller than the sum of its proper divisors (3481665226609440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

947980260864000 is an frugal number, since it uses more digits than its factorization.

947980260864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 947980260864000 in words is "nine hundred forty-seven trillion, nine hundred eighty billion, two hundred sixty million, eight hundred sixty-four thousand".