66712677476400 has 360 divisors, whose sum is σ = 238122206847200. Its totient is φ = 17283492495360.

The previous prime is 66712677476399. The next prime is 66712677476477. The reversal of 66712677476400 is 467477621766.

66712677476400 is a `hidden beast` number, since 6 + 6 + 71 + 26 + 7 + 74 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89271501 + ... + 90015699.

Almost surely, 2^{66712677476400} is an apocalyptic number.

66712677476400 is a gapful number since it is divisible by the number (60) 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 66712677476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119061103423600).

66712677476400 is an abundant number, since it is smaller than the sum of its proper divisors (171409529370800).

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

66712677476400 is a wasteful number, since it uses less digits than its factorization.

66712677476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744933 (or 744919 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 66712677476400 in words is "sixty-six trillion, seven hundred twelve billion, six hundred seventy-seven million, four hundred seventy-six thousand, four hundred".