10100767540864 has 512 divisors, whose sum is σ = 28468790784000. Its totient is φ = 3437942538240.

The previous prime is 10100767540859. The next prime is 10100767540909. The reversal of 10100767540864 is 46804576700101.

It is a happy number.

It is a super-3 number, since 3×10100767540864³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3756327232 + ... + 3756329920.

It is an arithmetic number, because the mean of its divisors is an integer number (55603107000).

Almost surely, 2^{10100767540864} is an apocalyptic number.

10100767540864 is a gapful number since it is divisible by the number (14) 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 10100767540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234395392000).

10100767540864 is an abundant number, since it is smaller than the sum of its proper divisors (18368023243136).

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

10100767540864 is a wasteful number, since it uses less digits than its factorization.

10100767540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 10100767540864 in words is "ten trillion, one hundred billion, seven hundred sixty-seven million, five hundred forty thousand, eight hundred sixty-four".