75815000640 has 504 divisors, whose sum is σ = 282513691512. Its totient is φ = 18596659200.

The previous prime is 75815000633. The next prime is 75815000641. The reversal of 75815000640 is 4600051857.

75815000640 is a `hidden beast` number, since 7 + 5 + 8 + 1 + 5 + 0 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29397159936 + 46417840704 = 171456^2 + 215448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75815000595 and 75815000604.

It is not an unprimeable number, because it can be changed into a prime (75815000641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108152290 + ... + 108152990.

Almost surely, 2^75815000640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75815000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141256845756).

75815000640 is an abundant number, since it is smaller than the sum of its proper divisors (206698690872).

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

75815000640 is a wasteful number, since it uses less digits than its factorization.

75815000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 75815000640 in words is "seventy-five billion, eight hundred fifteen million, six hundred forty", and thus it is an aban number.