73638684000 has 576 divisors, whose sum is σ = 301580278272. Its totient is φ = 16668288000.

The previous prime is 73638683977. The next prime is 73638684019. The reversal of 73638684000 is 48683637.

73638684000 is a `hidden beast` number, since 7 + 3 + 638 + 6 + 8 + 4 + 0 + 0 + 0 = 666.

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, 26962635 + ... + 26965365.

It is an arithmetic number, because the mean of its divisors is an integer number (523576872).

Almost surely, 2^73638684000 is an apocalyptic number.

73638684000 is a gapful number since it is divisible by the number (70) 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 73638684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150790139136).

73638684000 is an abundant number, since it is smaller than the sum of its proper divisors (227941594272).

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

73638684000 is a wasteful number, since it uses less digits than its factorization.

73638684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 73638684000 in words is "seventy-three billion, six hundred thirty-eight million, six hundred eighty-four thousand".