45578739960 has 256 divisors, whose sum is σ = 164707200000. Its totient is φ = 11144563200.

The previous prime is 45578739917. The next prime is 45578739979. The reversal of 45578739960 is 6993787554.

45578739960 is a `hidden beast` number, since 4 + 557 + 8 + 73 + 9 + 9 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2109291 + ... + 2130789.

It is an arithmetic number, because the mean of its divisors is an integer number (643387500).

Almost surely, 2^45578739960 is an apocalyptic number.

45578739960 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 45578739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82353600000).

45578739960 is an abundant number, since it is smaller than the sum of its proper divisors (119128460040).

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

45578739960 is a wasteful number, since it uses less digits than its factorization.

45578739960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21673 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 45578739960 in words is "forty-five billion, five hundred seventy-eight million, seven hundred thirty-nine thousand, nine hundred sixty".