64536955200 has 672 divisors, whose sum is σ = 243688331520. Its totient is φ = 16605388800.

The previous prime is 64536955183. The next prime is 64536955247. The reversal of 64536955200 is 255963546.

64536955200 is a `hidden beast` number, since 6 + 4 + 5 + 36 + 95 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162561402 + ... + 162561798.

Almost surely, 2^64536955200 is an apocalyptic number.

64536955200 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 64536955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121844165760).

64536955200 is an abundant number, since it is smaller than the sum of its proper divisors (179151376320).

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

64536955200 is a wasteful number, since it uses less digits than its factorization.

64536955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 645369 and 55200, that added together give a square (700569 = 837²).

The spelling of 64536955200 in words is "sixty-four billion, five hundred thirty-six million, nine hundred fifty-five thousand, two hundred".