66737406672 has 120 divisors (see below), whose sum is σ = 196716873600. Its totient is φ = 21062674944.

The previous prime is 66737406649. The next prime is 66737406683. The reversal of 66737406672 is 27660473766.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5446729 + ... + 5458967.

It is an arithmetic number, because the mean of its divisors is an integer number (1639307280).

Almost surely, 2^66737406672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66737406672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98358436800).

66737406672 is an abundant number, since it is smaller than the sum of its proper divisors (129979466928).

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

66737406672 is a wasteful number, since it uses less digits than its factorization.

66737406672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14265 (or 14256 counting only the distinct ones).

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

The spelling of 66737406672 in words is "sixty-six billion, seven hundred thirty-seven million, four hundred six thousand, six hundred seventy-two".