73864253808 has 200 divisors, whose sum is σ = 229112160288. Its totient is φ = 22914067968.

The previous prime is 73864253791. The next prime is 73864253821. The reversal of 73864253808 is 80835246837.

73864253808 is a `hidden beast` number, since 7 + 386 + 4 + 253 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×73864253808² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1069410 + ... + 1136382.

Almost surely, 2^73864253808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73864253808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114556080144).

73864253808 is an abundant number, since it is smaller than the sum of its proper divisors (155247906480).

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

73864253808 is a wasteful number, since it uses less digits than its factorization.

73864253808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67053 (or 67038 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 73864253808 in words is "seventy-three billion, eight hundred sixty-four million, two hundred fifty-three thousand, eight hundred eight".