84720040376832 has 1280 divisors, whose sum is σ = 302722624512000. Its totient is φ = 22871788093440.

The previous prime is 84720040376737. The next prime is 84720040376843. The reversal of 84720040376832 is 23867304002748.

It is a happy number.

84720040376832 is a `hidden beast` number, since 84 + 72 + 0 + 0 + 403 + 7 + 68 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80762669044 + ... + 80762670092.

It is an arithmetic number, because the mean of its divisors is an integer number (236502050400).

Almost surely, 2^{84720040376832} 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 84720040376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151361312256000).

84720040376832 is an abundant number, since it is smaller than the sum of its proper divisors (218002584135168).

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

84720040376832 is a wasteful number, since it uses less digits than its factorization.

84720040376832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 84720040376832 in words is "eighty-four trillion, seven hundred twenty billion, forty million, three hundred seventy-six thousand, eight hundred thirty-two".