47400294663680 has 960 divisors, whose sum is σ = 143269287321600. Its totient is φ = 14948472913920.

The previous prime is 47400294663611. The next prime is 47400294663773. The reversal of 47400294663680 is 8636649200474.

It is a super-2 number, since 2×47400294663680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11485409777 + ... + 11485413903.

It is an arithmetic number, because the mean of its divisors is an integer number (149238840960).

Almost surely, 2^{47400294663680} is an apocalyptic number.

47400294663680 is a gapful number since it is divisible by the number (40) 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 47400294663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71634643660800).

47400294663680 is an abundant number, since it is smaller than the sum of its proper divisors (95868992657920).

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

47400294663680 is a wasteful number, since it uses less digits than its factorization.

47400294663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 59.

The spelling of 47400294663680 in words is "forty-seven trillion, four hundred billion, two hundred ninety-four million, six hundred sixty-three thousand, six hundred eighty".