73678235516928 has 840 divisors, whose sum is σ = 265782448070720. Its totient is φ = 19942551060480.

The previous prime is 73678235516857. The next prime is 73678235516959. The reversal of 73678235516928 is 82961553287637.

73678235516928 is a `hidden beast` number, since 7 + 3 + 6 + 7 + 8 + 2 + 3 + 551 + 69 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1588520298 + ... + 1588566678.

Almost surely, 2^{73678235516928} 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 73678235516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132891224035360).

73678235516928 is an abundant number, since it is smaller than the sum of its proper divisors (192104212553792).

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

73678235516928 is an frugal number, since it uses more digits than its factorization.

73678235516928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46453 (or 46412 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 73678235516928 in words is "seventy-three trillion, six hundred seventy-eight billion, two hundred thirty-five million, five hundred sixteen thousand, nine hundred twenty-eight".