45780537600 has 648 divisors, whose sum is σ = 198091071360. Its totient is φ = 9847111680.

The previous prime is 45780537587. The next prime is 45780537619. The reversal of 45780537600 is 673508754.

45780537600 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 0 + 5 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6851061 + ... + 6857739.

Almost surely, 2^45780537600 is an apocalyptic number.

45780537600 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 45780537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99045535680).

45780537600 is an abundant number, since it is smaller than the sum of its proper divisors (152310533760).

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

45780537600 is a wasteful number, since it uses less digits than its factorization.

45780537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45780537600 in words is "forty-five billion, seven hundred eighty million, five hundred thirty-seven thousand, six hundred".