45029752320 has 640 divisors, whose sum is σ = 180309888000. Its totient is φ = 9347530752.

The previous prime is 45029752253. The next prime is 45029752387. The reversal of 45029752320 is 2325792054.

It is an interprime number because it is at equal distance from previous prime (45029752253) and next prime (45029752387).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26502831 + ... + 26504529.

It is an arithmetic number, because the mean of its divisors is an integer number (281734200).

Almost surely, 2^45029752320 is an apocalyptic number.

45029752320 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 45029752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154944000).

45029752320 is an abundant number, since it is smaller than the sum of its proper divisors (135280135680).

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

45029752320 is a wasteful number, since it uses less digits than its factorization.

45029752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 45029752320 in words is "forty-five billion, twenty-nine million, seven hundred fifty-two thousand, three hundred twenty".