5464004445600 has 288 divisors, whose sum is σ = 18539100296640. Its totient is φ = 1396082688000.

The previous prime is 5464004445577. The next prime is 5464004445643. The reversal of 5464004445600 is 65444004645.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8817960 + ... + 9417240.

It is an arithmetic number, because the mean of its divisors is an integer number (64371876030).

Almost surely, 2^{5464004445600} is an apocalyptic number.

5464004445600 is a gapful number since it is divisible by the number (50) 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 5464004445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269550148320).

5464004445600 is an abundant number, since it is smaller than the sum of its proper divisors (13075095851040).

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

5464004445600 is a wasteful number, since it uses less digits than its factorization.

5464004445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599464 (or 599451 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 5464004445600 in words is "five trillion, four hundred sixty-four billion, four million, four hundred forty-five thousand, six hundred".