73719824640 has 576 divisors, whose sum is σ = 294910543872. Its totient is φ = 15246950400.

The previous prime is 73719824639. The next prime is 73719824657. The reversal of 73719824640 is 4642891737.

It is a super-2 number, since 2×73719824640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83677000 + ... + 83677880.

It is an arithmetic number, because the mean of its divisors is an integer number (511997472).

Almost surely, 2^73719824640 is an apocalyptic number.

73719824640 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 73719824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147455271936).

73719824640 is an abundant number, since it is smaller than the sum of its proper divisors (221190719232).

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

73719824640 is a wasteful number, since it uses less digits than its factorization.

73719824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 73719824640 in words is "seventy-three billion, seven hundred nineteen million, eight hundred twenty-four thousand, six hundred forty".