947375939240640 has 1344 divisors, whose sum is σ = 4255202731014144. Its totient is φ = 187741187997696.

The previous prime is 947375939240629. The next prime is 947375939240693. The reversal of 947375939240640 is 46042939573749.

947375939240640 is a `hidden beast` number, since 9 + 4 + 7 + 3 + 7 + 5 + 93 + 92 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2169542007 + ... + 2169978633.

It is an arithmetic number, because the mean of its divisors is an integer number (3166073460576).

Almost surely, 2^{947375939240640} is an apocalyptic number.

947375939240640 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 947375939240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127601365507072).

947375939240640 is an abundant number, since it is smaller than the sum of its proper divisors (3307826791773504).

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

947375939240640 is a wasteful number, since it uses less digits than its factorization.

947375939240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437174 (or 437161 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 947375939240640 in words is "nine hundred forty-seven trillion, three hundred seventy-five billion, nine hundred thirty-nine million, two hundred forty thousand, six hundred forty".