815275016640 has 672 divisors, whose sum is σ = 3420227026944. Its totient is φ = 173996605440.

The previous prime is 815275016551. The next prime is 815275016659. The reversal of 815275016640 is 46610572518.

815275016640 is a `hidden beast` number, since 8 + 1 + 527 + 50 + 16 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43516075 + ... + 43534805.

It is an arithmetic number, because the mean of its divisors is an integer number (5089623552).

Almost surely, 2^815275016640 is an apocalyptic number.

815275016640 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 815275016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710113513472).

815275016640 is an abundant number, since it is smaller than the sum of its proper divisors (2604952010304).

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

815275016640 is a wasteful number, since it uses less digits than its factorization.

815275016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18905 (or 18892 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 815275016640 in words is "eight hundred fifteen billion, two hundred seventy-five million, sixteen thousand, six hundred forty".