467900788320 has 1152 divisors, whose sum is σ = 1989816192000. Its totient is φ = 99785613312.

The previous prime is 467900788273. The next prime is 467900788337. The reversal of 467900788320 is 23887009764.

467900788320 is a `hidden beast` number, since 467 + 90 + 0 + 78 + 8 + 3 + 20 = 666.

It is a super-2 number, since 2×467900788320² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 685066699 + ... + 685067381.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271000).

Almost surely, 2^467900788320 is an apocalyptic number.

467900788320 is a gapful number since it is divisible by the number (40) 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 467900788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994908096000).

467900788320 is an abundant number, since it is smaller than the sum of its proper divisors (1521915403680).

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

467900788320 is a wasteful number, since it uses less digits than its factorization.

467900788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 467900788320 in words is "four hundred sixty-seven billion, nine hundred million, seven hundred eighty-eight thousand, three hundred twenty".