73895902879680 has 784 divisors, whose sum is σ = 302326546805184. Its totient is φ = 16845070417920.

The previous prime is 73895902879627. The next prime is 73895902879717. The reversal of 73895902879680 is 8697820959837.

73895902879680 is a `hidden beast` number, since 7 + 3 + 8 + 95 + 90 + 287 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 73895902879680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 609033420 + ... + 609154740.

Almost surely, 2^{73895902879680} is an apocalyptic number.

73895902879680 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 73895902879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151163273402592).

73895902879680 is an abundant number, since it is smaller than the sum of its proper divisors (228430643925504).

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

73895902879680 is a wasteful number, since it uses less digits than its factorization.

73895902879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121736 (or 121711 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 73895902879680 in words is "seventy-three trillion, eight hundred ninety-five billion, nine hundred two million, eight hundred seventy-nine thousand, six hundred eighty".