100762496640 has 896 divisors, whose sum is σ = 400346226000. Its totient is φ = 24078974976.

The previous prime is 100762496633. The next prime is 100762496651. The reversal of 100762496640 is 46694267001.

100762496640 is a `hidden beast` number, since 10 + 0 + 7 + 624 + 9 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52126369344 + 48636127296 = 228312^2 + 220536^2 .

It is a super-2 number, since 2×100762496640² (a number of 23 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 224415136 + ... + 224415584.

Almost surely, 2^100762496640 is an apocalyptic number.

100762496640 is a gapful number since it is divisible by the number (10) 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 100762496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200173113000).

100762496640 is an abundant number, since it is smaller than the sum of its proper divisors (299583729360).

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

100762496640 is an equidigital number, since it uses as much as digits as its factorization.

100762496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 100762496640 in words is "one hundred billion, seven hundred sixty-two million, four hundred ninety-six thousand, six hundred forty".