64197112550400 has 1584 divisors, whose sum is σ = 245840662333440. Its totient is φ = 16414949376000.

The previous prime is 64197112550393. The next prime is 64197112550407. The reversal of 64197112550400 is 405521179146.

64197112550400 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 71 + 125 + 50 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (64197112550393) and next prime (64197112550407).

It is a super-3 number, since 3×64197112550400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64197112550407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84358886020 + ... + 84358886780.

Almost surely, 2^{64197112550400} is an apocalyptic number.

64197112550400 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 64197112550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122920331166720).

64197112550400 is an abundant number, since it is smaller than the sum of its proper divisors (181643549783040).

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

64197112550400 is a wasteful number, since it uses less digits than its factorization.

64197112550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 64197112550400 in words is "sixty-four trillion, one hundred ninety-seven billion, one hundred twelve million, five hundred fifty thousand, four hundred".