64555953868800 has 936 divisors, whose sum is σ = 247527553611520. Its totient is φ = 16659401932800.

The previous prime is 64555953868771. The next prime is 64555953868807. The reversal of 64555953868800 is 886835955546.

64555953868800 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 5 + 9 + 538 + 6 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×64555953868800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64555953868807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 771337356 + ... + 771421044.

Almost surely, 2^{64555953868800} is an apocalyptic number.

64555953868800 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 64555953868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123763776805760).

64555953868800 is an abundant number, since it is smaller than the sum of its proper divisors (182971599742720).

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

64555953868800 is an equidigital number, since it uses as much as digits as its factorization.

64555953868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83769 (or 83730 counting only the distinct ones).

The product of its (nonzero) digits is 1244160000, while the sum is 72.

The spelling of 64555953868800 in words is "sixty-four trillion, five hundred fifty-five billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".