6355672400 has 360 divisors, whose sum is σ = 19877477760. Its totient is φ = 1929984000.

The previous prime is 6355672381. The next prime is 6355672429. The reversal of 6355672400 is 42765536.

It is a super-2 number, since 2×6355672400² = 80789143312243520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8839241 + ... + 8839959.

It is an arithmetic number, because the mean of its divisors is an integer number (55215216).

Almost surely, 2^6355672400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6355672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938738880).

6355672400 is an abundant number, since it is smaller than the sum of its proper divisors (13521805360).

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

6355672400 is a wasteful number, since it uses less digits than its factorization.

6355672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 6355672400 is about 79722.4711107226. The cubic root of 6355672400 is about 1852.3391302856.

The spelling of 6355672400 in words is "six billion, three hundred fifty-five million, six hundred seventy-two thousand, four hundred".