6476746800 has 120 divisors (see below), whose sum is σ = 20769224256. Its totient is φ = 1725297920.

The previous prime is 6476746799. The next prime is 6476746831. The reversal of 6476746800 is 86476746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6476746800² = 83896498222620480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6476746800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422127 + ... + 1426673.

Almost surely, 2^6476746800 is an apocalyptic number.

6476746800 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 6476746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384612128).

6476746800 is an abundant number, since it is smaller than the sum of its proper divisors (14292477456).

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

6476746800 is a wasteful number, since it uses less digits than its factorization.

6476746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 6476746800 is about 80478.2380522834. The cubic root of 6476746800 is about 1864.0274621876.

The spelling of 6476746800 in words is "six billion, four hundred seventy-six million, seven hundred forty-six thousand, eight hundred".