815611047884640 has 768 divisors, whose sum is σ = 3350916877271040. Its totient is φ = 181370698629120.

The previous prime is 815611047884593. The next prime is 815611047884693. The reversal of 815611047884640 is 46488740116518.

815611047884640 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 110 + 478 + 8 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16146532024 + ... + 16146582536.

It is an arithmetic number, because the mean of its divisors is an integer number (4363173017280).

Almost surely, 2^{815611047884640} is an apocalyptic number.

815611047884640 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 815611047884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675458438635520).

815611047884640 is an abundant number, since it is smaller than the sum of its proper divisors (2535305829386400).

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

815611047884640 is a wasteful number, since it uses less digits than its factorization.

815611047884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65012 (or 64998 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 815611047884640 in words is "eight hundred fifteen trillion, six hundred eleven billion, forty-seven million, eight hundred eighty-four thousand, six hundred forty".