45877493760 has 544 divisors, whose sum is σ = 172132922880. Its totient is φ = 10217324544.

The previous prime is 45877493749. The next prime is 45877493791. The reversal of 45877493760 is 6739477854.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45877493694 and 45877493703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405995464 + ... + 405995576.

Almost surely, 2^45877493760 is an apocalyptic number.

45877493760 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 45877493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86066461440).

45877493760 is an abundant number, since it is smaller than the sum of its proper divisors (126255429120).

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

45877493760 is an equidigital number, since it uses as much as digits as its factorization.

45877493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 45877493760 in words is "forty-five billion, eight hundred seventy-seven million, four hundred ninety-three thousand, seven hundred sixty".