45179762400 has 216 divisors, whose sum is σ = 159487604640. Its totient is φ = 12034897920.

The previous prime is 45179762399. The next prime is 45179762401. The reversal of 45179762400 is 426797154.

45179762400 is a `hidden beast` number, since 4 + 5 + 17 + 9 + 7 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45179762399) and next prime (45179762401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45179762401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7938756 + ... + 7944444.

It is an arithmetic number, because the mean of its divisors is an integer number (738368540).

Almost surely, 2^45179762400 is an apocalyptic number.

45179762400 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 45179762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79743802320).

45179762400 is an abundant number, since it is smaller than the sum of its proper divisors (114307842240).

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

45179762400 is a wasteful number, since it uses less digits than its factorization.

45179762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 45179762400 in words is "forty-five billion, one hundred seventy-nine million, seven hundred sixty-two thousand, four hundred".