10007500721364 has 18 divisors (see below), whose sum is σ = 25296737934650. Its totient is φ = 3335833573776.

The previous prime is 10007500721363. The next prime is 10007500721371. The reversal of 10007500721364 is 46312700570001.

It is a happy number.

10007500721364 is a `hidden beast` number, since 10 + 0 + 0 + 7 + 500 + 7 + 2 + 136 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8757929984400 + 1249570736964 = 2959380^2 + 1117842^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 277986131149 = 10007500721364 / (1 + 0 + 0 + 0 + 7 + 5 + 0 + 0 + 7 + 2 + 1 + 3 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007500721363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138993065539 + ... + 138993065610.

Almost surely, 2^{10007500721364} is an apocalyptic number.

It is an amenable number.

10007500721364 is an abundant number, since it is smaller than the sum of its proper divisors (15289237213286).

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

10007500721364 is a wasteful number, since it uses less digits than its factorization.

10007500721364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277986131159 (or 277986131154 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10007500721364 in words is "ten trillion, seven billion, five hundred million, seven hundred twenty-one thousand, three hundred sixty-four".