66072167700 has 576 divisors, whose sum is σ = 253639766016. Its totient is φ = 12856320000.

The previous prime is 66072167663. The next prime is 66072167713. The reversal of 66072167700 is 776127066.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122129430 + ... + 122129970.

It is an arithmetic number, because the mean of its divisors is an integer number (440346816).

Almost surely, 2^66072167700 is an apocalyptic number.

66072167700 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 66072167700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819883008).

66072167700 is an abundant number, since it is smaller than the sum of its proper divisors (187567598316).

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

66072167700 is a wasteful number, since it uses less digits than its factorization.

66072167700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 66072167700 in words is "sixty-six billion, seventy-two million, one hundred sixty-seven thousand, seven hundred".