45927761080320 has 1664 divisors, whose sum is σ = 192132709171200. Its totient is φ = 10191302295552.

The previous prime is 45927761080303. The next prime is 45927761080343. The reversal of 45927761080320 is 2308016772954.

It is a happy number.

45927761080320 is a `hidden beast` number, since 4 + 592 + 7 + 7 + 6 + 10 + 8 + 0 + 32 + 0 = 666.

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

It is a congruent number.

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, 18954914629 + ... + 18954917051.

It is a 1-persistent number, because it is pandigital, but 2⋅45927761080320 = 91855522160640 is not.

Almost surely, 2^{45927761080320} is an apocalyptic number.

45927761080320 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 45927761080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96066354585600).

45927761080320 is an abundant number, since it is smaller than the sum of its proper divisors (146204948090880).

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

45927761080320 is a wasteful number, since it uses less digits than its factorization.

45927761080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45927761080320 in words is "forty-five trillion, nine hundred twenty-seven billion, seven hundred sixty-one million, eighty thousand, three hundred twenty".