45724720720 has 160 divisors (see below), whose sum is σ = 122645293056. Its totient is φ = 15529536000.

The previous prime is 45724720711. The next prime is 45724720729. The reversal of 45724720720 is 2702742754.

It is an interprime number because it is at equal distance from previous prime (45724720711) and next prime (45724720729).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45724720729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48283287 + ... + 48284233.

Almost surely, 2^45724720720 is an apocalyptic number.

45724720720 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 45724720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61322646528).

45724720720 is an abundant number, since it is smaller than the sum of its proper divisors (76920572336).

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

45724720720 is a wasteful number, since it uses less digits than its factorization.

45724720720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 40.

The spelling of 45724720720 in words is "forty-five billion, seven hundred twenty-four million, seven hundred twenty thousand, seven hundred twenty".