947869567464960 has 3200 divisors, whose sum is σ = 4268370778214400. Its totient is φ = 198611411927040.

The previous prime is 947869567464943. The next prime is 947869567465003. The reversal of 947869567464960 is 69464765968749.

It is a happy number.

947869567464960 is a `hidden beast` number, since 9 + 4 + 7 + 8 + 6 + 9 + 56 + 7 + 464 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 97748738832 + ... + 97748748528.

It is an arithmetic number, because the mean of its divisors is an integer number (1333865868192).

Almost surely, 2^{947869567464960} is an apocalyptic number.

947869567464960 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 947869567464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134185389107200).

947869567464960 is an abundant number, since it is smaller than the sum of its proper divisors (3320501210749440).

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

947869567464960 is an equidigital number, since it uses as much as digits as its factorization.

947869567464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 118513704960, while the sum is 90.

The spelling of 947869567464960 in words is "nine hundred forty-seven trillion, eight hundred sixty-nine billion, five hundred sixty-seven million, four hundred sixty-four thousand, nine hundred sixty".