71936832360960 has 2560 divisors, whose sum is σ = 318499386163200. Its totient is φ = 15028302643200.

The previous prime is 71936832360917. The next prime is 71936832361003. The reversal of 71936832360960 is 6906323863917.

71936832360960 is a `hidden beast` number, since 7 + 19 + 3 + 6 + 8 + 3 + 2 + 3 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71936832360917) and next prime (71936832361003).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32594848177 + ... + 32594850383.

It is an arithmetic number, because the mean of its divisors is an integer number (124413822720).

Almost surely, 2^{71936832360960} is an apocalyptic number.

71936832360960 is a gapful number since it is divisible by the number (70) 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 71936832360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159249693081600).

71936832360960 is an abundant number, since it is smaller than the sum of its proper divisors (246562553802240).

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

71936832360960 is a wasteful number, since it uses less digits than its factorization.

71936832360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 71936832360960 in words is "seventy-one trillion, nine hundred thirty-six billion, eight hundred thirty-two million, three hundred sixty thousand, nine hundred sixty".