5407708800 has 192 divisors, whose sum is σ = 19182209760. Its totient is φ = 1331097600.

The previous prime is 5407708783. The next prime is 5407708811. The reversal of 5407708800 is 88077045.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103135 + ... + 146465.

Almost surely, 2^5407708800 is an apocalyptic number.

5407708800 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 5407708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591104880).

5407708800 is an abundant number, since it is smaller than the sum of its proper divisors (13774500960).

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

5407708800 is a wasteful number, since it uses less digits than its factorization.

5407708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43371 (or 43354 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 5407708800 is about 73537.1253177604. The cubic root of 5407708800 is about 1755.2450855359.

The spelling of 5407708800 in words is "five billion, four hundred seven million, seven hundred eight thousand, eight hundred".