1007721968164 has 12 divisors (see below), whose sum is σ = 1772650821004. Its totient is φ = 501250305024.

The previous prime is 1007721968119. The next prime is 1007721968189. The reversal of 1007721968164 is 4618691277001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191807209764 + 815914758400 = 437958^2 + 903280^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 652668897 + ... + 652670440.

Almost surely, 2^{1007721968164} is an apocalyptic number.

It is an amenable number.

1007721968164 is a deficient number, since it is larger than the sum of its proper divisors (764928852840).

1007721968164 is a wasteful number, since it uses less digits than its factorization.

1007721968164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305339534 (or 1305339532 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 1007721968164 in words is "one trillion, seven billion, seven hundred twenty-one million, nine hundred sixty-eight thousand, one hundred sixty-four".