66137367744 has 336 divisors, whose sum is σ = 226649280000. Its totient is φ = 18028707840.

The previous prime is 66137367727. The next prime is 66137367757. The reversal of 66137367744 is 44776373166.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52951632 + ... + 52952880.

Almost surely, 2^66137367744 is an apocalyptic number.

66137367744 is a gapful number since it is divisible by the number (64) 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 66137367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640000).

66137367744 is an abundant number, since it is smaller than the sum of its proper divisors (160511912256).

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

66137367744 is a wasteful number, since it uses less digits than its factorization.

66137367744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1855 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 66137367744 in words is "sixty-six billion, one hundred thirty-seven million, three hundred sixty-seven thousand, seven hundred forty-four".