64638622052400 has 960 divisors, whose sum is σ = 252075866112000. Its totient is φ = 13978013184000.

The previous prime is 64638622052399. The next prime is 64638622052443. The reversal of 64638622052400 is 425022683646.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64638622052400.

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, 287555251 + ... + 287779949.

It is an arithmetic number, because the mean of its divisors is an integer number (262579027200).

Almost surely, 2^{64638622052400} is an apocalyptic number.

64638622052400 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 64638622052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126037933056000).

64638622052400 is an abundant number, since it is smaller than the sum of its proper divisors (187437244059600).

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

64638622052400 is a wasteful number, since it uses less digits than its factorization.

64638622052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224818 (or 224807 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 64638622052400 in words is "sixty-four trillion, six hundred thirty-eight billion, six hundred twenty-two million, fifty-two thousand, four hundred".