64556106822720 has 1344 divisors, whose sum is σ = 237377303654400. Its totient is φ = 16693501870080.

The previous prime is 64556106822659. The next prime is 64556106822737. The reversal of 64556106822720 is 2722860165546.

64556106822720 is a `hidden beast` number, since 6 + 4 + 5 + 561 + 0 + 6 + 8 + 2 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 170332735491 + ... + 170332735869.

It is an arithmetic number, because the mean of its divisors is an integer number (176620017600).

Almost surely, 2^{64556106822720} is an apocalyptic number.

64556106822720 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 64556106822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118688651827200).

64556106822720 is an abundant number, since it is smaller than the sum of its proper divisors (172821196831680).

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

64556106822720 is a wasteful number, since it uses less digits than its factorization.

64556106822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 64556106822720 in words is "sixty-four trillion, five hundred fifty-six billion, one hundred six million, eight hundred twenty-two thousand, seven hundred twenty".