398437703664 has 640 divisors, whose sum is σ = 1467159429120. Its totient is φ = 90476559360.

The previous prime is 398437703627. The next prime is 398437703701. The reversal of 398437703664 is 466307734893.

It is an interprime number because it is at equal distance from previous prime (398437703627) and next prime (398437703701).

It is a junction number, because it is equal to n+sod(n) for n = 398437703598 and 398437703607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110460549 + ... + 110464155.

It is an arithmetic number, because the mean of its divisors is an integer number (2292436608).

Almost surely, 2^398437703664 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 398437703664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733579714560).

398437703664 is an abundant number, since it is smaller than the sum of its proper divisors (1068721725456).

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

398437703664 is a wasteful number, since it uses less digits than its factorization.

398437703664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 398437703664 in words is "three hundred ninety-eight billion, four hundred thirty-seven million, seven hundred three thousand, six hundred sixty-four".