66772400100 has 72 divisors (see below), whose sum is σ = 220794076608. Its totient is φ = 15262262400.

The previous prime is 66772400089. The next prime is 66772400111. The reversal of 66772400100 is 100427766.

It is an interprime number because it is at equal distance from previous prime (66772400089) and next prime (66772400111).

It is a super-2 number, since 2×66772400100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15896091 + ... + 15900290.

Almost surely, 2^66772400100 is an apocalyptic number.

66772400100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66772400100 is an abundant number, since it is smaller than the sum of its proper divisors (154021676508).

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

66772400100 is a wasteful number, since it uses less digits than its factorization.

66772400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31796405 (or 31796398 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 66772400100 its reverse (100427766), we get a palindrome (66872827866).

The spelling of 66772400100 in words is "sixty-six billion, seven hundred seventy-two million, four hundred thousand, one hundred".