816297432480 has 240 divisors, whose sum is σ = 2882390464800. Its totient is φ = 217562899968.

The previous prime is 816297432451. The next prime is 816297432529. The reversal of 816297432480 is 84234792618.

816297432480 is a `hidden beast` number, since 8 + 1 + 62 + 9 + 74 + 32 + 480 = 666.

816297432480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25735671 + ... + 25767369.

It is an arithmetic number, because the mean of its divisors is an integer number (12009960270).

Almost surely, 2^816297432480 is an apocalyptic number.

816297432480 is a gapful number since it is divisible by the number (80) 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 816297432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441195232400).

816297432480 is an abundant number, since it is smaller than the sum of its proper divisors (2066093032320).

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

816297432480 is a wasteful number, since it uses less digits than its factorization.

816297432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33713 (or 33696 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 816297432480 in words is "eight hundred sixteen billion, two hundred ninety-seven million, four hundred thirty-two thousand, four hundred eighty".