6402418752 has 168 divisors, whose sum is σ = 18143963712. Its totient is φ = 1991808000.

The previous prime is 6402418727. The next prime is 6402418777. The reversal of 6402418752 is 2578142046.

It is an interprime number because it is at equal distance from previous prime (6402418727) and next prime (6402418777).

It is a super-2 number, since 2×6402418752² = 81981931751922475008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6402418752.

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, 4920502 + ... + 4921802.

It is an arithmetic number, because the mean of its divisors is an integer number (107999784).

Almost surely, 2^6402418752 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 6402418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071981856).

6402418752 is an abundant number, since it is smaller than the sum of its proper divisors (11741544960).

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

6402418752 is a wasteful number, since it uses less digits than its factorization.

6402418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 6402418752 is about 80015.1157719590. The cubic root of 6402418752 is about 1856.8693967420.

The spelling of 6402418752 in words is "six billion, four hundred two million, four hundred eighteen thousand, seven hundred fifty-two".