67215052800 has 1248 divisors, whose sum is σ = 296417218560. Its totient is φ = 14598144000.

The previous prime is 67215052799. The next prime is 67215052819. The reversal of 67215052800 is 825051276.

It is a happy number.

67215052800 is a `hidden beast` number, since 6 + 72 + 1 + 505 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445132725 + ... + 445132875.

Almost surely, 2^67215052800 is an apocalyptic number.

67215052800 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 67215052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148208609280).

67215052800 is an abundant number, since it is smaller than the sum of its proper divisors (229202165760).

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

67215052800 is a wasteful number, since it uses less digits than its factorization.

67215052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 67215052800 in words is "sixty-seven billion, two hundred fifteen million, fifty-two thousand, eight hundred".