64272343449600 has 7200 divisors, whose sum is σ = 317164260188160. Its totient is φ = 12612796416000.

The previous prime is 64272343449583. The next prime is 64272343449647. The reversal of 64272343449600 is 694434327246.

64272343449600 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 23 + 4 + 3 + 4 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2073301401585 + ... + 2073301401615.

Almost surely, 2^{64272343449600} is an apocalyptic number.

64272343449600 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 64272343449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158582130094080).

64272343449600 is an abundant number, since it is smaller than the sum of its proper divisors (252891916738560).

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

64272343449600 is a wasteful number, since it uses less digits than its factorization.

64272343449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 64272343449600 in words is "sixty-four trillion, two hundred seventy-two billion, three hundred forty-three million, four hundred forty-nine thousand, six hundred".