5916646400 has 264 divisors, whose sum is σ = 16953679776. Its totient is φ = 2005401600.

The previous prime is 5916646399. The next prime is 5916646433. The reversal of 5916646400 is 46466195.

It is a congruent number.

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, 24550280 + ... + 24550520.

It is an arithmetic number, because the mean of its divisors is an integer number (64218484).

Almost surely, 2^5916646400 is an apocalyptic number.

5916646400 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 5916646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476839888).

5916646400 is an abundant number, since it is smaller than the sum of its proper divisors (11037033376).

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

5916646400 is a wasteful number, since it uses less digits than its factorization.

5916646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 5916646400 is about 76919.7399891601. The cubic root of 5916646400 is about 1808.6666818531. Note that the first 4 decimals are identical.

The spelling of 5916646400 in words is "five billion, nine hundred sixteen million, six hundred forty-six thousand, four hundred".