390905072064 has 336 divisors, whose sum is σ = 1272586573440. Its totient is φ = 118236257280.

The previous prime is 390905072057. The next prime is 390905072083. The reversal of 390905072064 is 460270509093.

It is a happy number.

390905072064 is a `hidden beast` number, since 39 + 0 + 90 + 507 + 20 + 6 + 4 = 666.

It is a super-2 number, since 2×390905072064² (a number of 24 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 47 ways as a sum of consecutive naturals, for example, 11911999 + ... + 11944769.

It is an arithmetic number, because the mean of its divisors is an integer number (3787460040).

Almost surely, 2^390905072064 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 390905072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636293286720).

390905072064 is an abundant number, since it is smaller than the sum of its proper divisors (881681501376).

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

390905072064 is a wasteful number, since it uses less digits than its factorization.

390905072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32870 (or 32848 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 390905072064 in words is "three hundred ninety billion, nine hundred five million, seventy-two thousand, sixty-four".