45676320712704 has 1440 divisors, whose sum is σ = 158847372684000. Its totient is φ = 13030595297280.

The previous prime is 45676320712699. The next prime is 45676320712777. The reversal of 45676320712704 is 40721702367654.

45676320712704 is a `hidden beast` number, since 4 + 567 + 6 + 3 + 2 + 0 + 7 + 1 + 2 + 70 + 4 = 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 119 ways as a sum of consecutive naturals, for example, 87335220987 + ... + 87335221509.

It is an arithmetic number, because the mean of its divisors is an integer number (110310675475).

Almost surely, 2^{45676320712704} is an apocalyptic number.

45676320712704 is a gapful number since it is divisible by the number (44) 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 45676320712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79423686342000).

45676320712704 is an abundant number, since it is smaller than the sum of its proper divisors (113171051971296).

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

45676320712704 is a wasteful number, since it uses less digits than its factorization.

45676320712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 45676320712704 in words is "forty-five trillion, six hundred seventy-six billion, three hundred twenty million, seven hundred twelve thousand, seven hundred four".