66979166855040 has 1024 divisors, whose sum is σ = 274076904960000. Its totient is φ = 15288267939840.

The previous prime is 66979166854993. The next prime is 66979166855053. The reversal of 66979166855040 is 4055866197966.

66979166855040 is a `hidden beast` number, since 6 + 6 + 9 + 7 + 9 + 1 + 6 + 68 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66979166855040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 588620871 + ... + 588734649.

It is an arithmetic number, because the mean of its divisors is an integer number (267653227500).

Almost surely, 2^{66979166855040} is an apocalyptic number.

66979166855040 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 66979166855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137038452480000).

66979166855040 is an abundant number, since it is smaller than the sum of its proper divisors (207097738104960).

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

66979166855040 is a wasteful number, since it uses less digits than its factorization.

66979166855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114000 (or 113982 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 66979166855040 in words is "sixty-six trillion, nine hundred seventy-nine billion, one hundred sixty-six million, eight hundred fifty-five thousand, forty".