5661902400 has 336 divisors, whose sum is σ = 23160898560. Its totient is φ = 1176422400.

The previous prime is 5661902383. The next prime is 5661902417. The reversal of 5661902400 is 42091665.

It is an interprime number because it is at equal distance from previous prime (5661902383) and next prime (5661902417).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 361941 + ... + 377259.

Almost surely, 2^5661902400 is an apocalyptic number.

5661902400 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 5661902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580449280).

5661902400 is an abundant number, since it is smaller than the sum of its proper divisors (17498996160).

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

5661902400 is a wasteful number, since it uses less digits than its factorization.

5661902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15362 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5661902400 is about 75245.6138256576. The cubic root of 5661902400 is about 1782.3273012862.

The spelling of 5661902400 in words is "five billion, six hundred sixty-one million, nine hundred two thousand, four hundred".