792628591054608 has 4800 divisors, whose sum is σ = 3236784832512000. Its totient is φ = 186313420339200.

The previous prime is 792628591054567. The next prime is 792628591054649. The reversal of 792628591054608 is 806450195826297.

792628591054608 is a `hidden beast` number, since 7 + 9 + 2 + 6 + 2 + 8 + 5 + 9 + 1 + 0 + 5 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (792628591054567) and next prime (792628591054649).

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 959 ways as a sum of consecutive naturals, for example, 4023495385966 + ... + 4023495386162.

It is an arithmetic number, because the mean of its divisors is an integer number (674330173440).

Almost surely, 2^{792628591054608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792628591054608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618392416256000).

792628591054608 is an abundant number, since it is smaller than the sum of its proper divisors (2444156241457392).

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

792628591054608 is a wasteful number, since it uses less digits than its factorization.

792628591054608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 792628591054608 in words is "seven hundred ninety-two trillion, six hundred twenty-eight billion, five hundred ninety-one million, fifty-four thousand, six hundred eight".