6560492400 has 1200 divisors, whose sum is σ = 31009086720. Its totient is φ = 1303948800.

The previous prime is 6560492359. The next prime is 6560492417. The reversal of 6560492400 is 42940656.

6560492400 is a `hidden beast` number, since 6 + 5 + 604 + 9 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 285238789 + ... + 285238811.

Almost surely, 2^6560492400 is an apocalyptic number.

6560492400 is a gapful number since it is divisible by the number (60) 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 6560492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504543360).

6560492400 is an abundant number, since it is smaller than the sum of its proper divisors (24448594320).

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

6560492400 is a wasteful number, since it uses less digits than its factorization.

6560492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6560492400 is about 80996.8666060608. The cubic root of 6560492400 is about 1872.0271610129.

The spelling of 6560492400 in words is "six billion, five hundred sixty million, four hundred ninety-two thousand, four hundred".