926772420608640 has 384 divisors, whose sum is σ = 3366726994800000. Its totient is φ = 234572903964672.

The previous prime is 926772420608599. The next prime is 926772420608681. The reversal of 926772420608640 is 46806024277629.

926772420608640 is a `hidden beast` number, since 9 + 2 + 6 + 7 + 72 + 420 + 60 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (926772420608599) and next prime (926772420608681).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37163340 + ... + 56874059.

It is an arithmetic number, because the mean of its divisors is an integer number (8767518215625).

Almost surely, 2^{926772420608640} is an apocalyptic number.

926772420608640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

926772420608640 is an abundant number, since it is smaller than the sum of its proper divisors (2439954574191360).

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

926772420608640 is a wasteful number, since it uses less digits than its factorization.

926772420608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94037512 (or 94037497 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 926772420608640 in words is "nine hundred twenty-six trillion, seven hundred seventy-two billion, four hundred twenty million, six hundred eight thousand, six hundred forty".