815246915840 has 432 divisors, whose sum is σ = 2415305910528. Its totient is φ = 262291341312.

The previous prime is 815246915807. The next prime is 815246915869. The reversal of 815246915840 is 48519642518.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 76450349 + ... + 76461011.

It is an arithmetic number, because the mean of its divisors is an integer number (5590985904).

Almost surely, 2^815246915840 is an apocalyptic number.

815246915840 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 815246915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207652955264).

815246915840 is an abundant number, since it is smaller than the sum of its proper divisors (1600058994688).

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

815246915840 is a wasteful number, since it uses less digits than its factorization.

815246915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 53.

The spelling of 815246915840 in words is "eight hundred fifteen billion, two hundred forty-six million, nine hundred fifteen thousand, eight hundred forty".