45765720000 has 1680 divisors, whose sum is σ = 221823393792. Its totient is φ = 8709120000.

The previous prime is 45765719933. The next prime is 45765720023. The reversal of 45765720000 is 2756754.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×45765720000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 360359937 + ... + 360360063.

Almost surely, 2^45765720000 is an apocalyptic number.

45765720000 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 45765720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110911696896).

45765720000 is an abundant number, since it is smaller than the sum of its proper divisors (176057673792).

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

45765720000 is a wasteful number, since it uses less digits than its factorization.

45765720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 45765720000 in words is "forty-five billion, seven hundred sixty-five million, seven hundred twenty thousand".