5464107566400 has 672 divisors, whose sum is σ = 21271646527488. Its totient is φ = 1201624473600.

The previous prime is 5464107566387. The next prime is 5464107566417. The reversal of 5464107566400 is 46657014645.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5464107566400.

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 95 ways as a sum of consecutive naturals, for example, 180181639 + ... + 180211961.

It is an arithmetic number, because the mean of its divisors is an integer number (31654235904).

Almost surely, 2^{5464107566400} is an apocalyptic number.

5464107566400 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 5464107566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635823263744).

5464107566400 is an abundant number, since it is smaller than the sum of its proper divisors (15807538961088).

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

5464107566400 is a wasteful number, since it uses less digits than its factorization.

5464107566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30559 (or 30544 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 5464107566400 in words is "five trillion, four hundred sixty-four billion, one hundred seven million, five hundred sixty-six thousand, four hundred".