5796662400 has 384 divisors, whose sum is σ = 22144118400. Its totient is φ = 1478062080.

The previous prime is 5796662371. The next prime is 5796662411. The reversal of 5796662400 is 42666975.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 1985742 + ... + 1988658.

It is an arithmetic number, because the mean of its divisors is an integer number (57666975).

Almost surely, 2^5796662400 is an apocalyptic number.

5796662400 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 5796662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072059200).

5796662400 is an abundant number, since it is smaller than the sum of its proper divisors (16347456000).

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

5796662400 is a wasteful number, since it uses less digits than its factorization.

5796662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5796662400 is about 76135.8154878504. The cubic root of 5796662400 is about 1796.3570767014.

The spelling of 5796662400 in words is "five billion, seven hundred ninety-six million, six hundred sixty-two thousand, four hundred".