45716827680 has 240 divisors, whose sum is σ = 168358284864. Its totient is φ = 11661027840.

The previous prime is 45716827643. The next prime is 45716827693. The reversal of 45716827680 is 8672861754.

45716827680 is a `hidden beast` number, since 4 + 571 + 6 + 8 + 2 + 7 + 68 + 0 = 666.

45716827680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 221395 + ... + 374765.

Almost surely, 2^45716827680 is an apocalyptic number.

45716827680 is a gapful number since it is divisible by the number (40) 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 45716827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84179142432).

45716827680 is an abundant number, since it is smaller than the sum of its proper divisors (122641457184).

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

45716827680 is a wasteful number, since it uses less digits than its factorization.

45716827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153421 (or 153404 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 45716827680 in words is "forty-five billion, seven hundred sixteen million, eight hundred twenty-seven thousand, six hundred eighty".