6402790800 has 900 divisors, whose sum is σ = 27705111060. Its totient is φ = 1410877440.

The previous prime is 6402790787. The next prime is 6402790817. The reversal of 6402790800 is 80972046.

6402790800 is a `hidden beast` number, since 640 + 2 + 7 + 9 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 221057424 + 6181733376 = 14868^2 + 78624^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 58741146 + ... + 58741254.

Almost surely, 2^6402790800 is an apocalyptic number.

6402790800 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 6402790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852555530).

6402790800 is an abundant number, since it is smaller than the sum of its proper divisors (21302320260).

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

6402790800 is a wasteful number, since it uses less digits than its factorization.

6402790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6402790800 is about 80017.4405989094. The cubic root of 6402790800 is about 1856.9053639387.

The spelling of 6402790800 in words is "six billion, four hundred two million, seven hundred ninety thousand, eight hundred".