6402660000 has 480 divisors, whose sum is σ = 23381265600. Its totient is φ = 1520640000.

The previous prime is 6402659993. The next prime is 6402660001. The reversal of 6402660000 is 662046.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6402660001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58739946 + ... + 58740054.

It is an arithmetic number, because the mean of its divisors is an integer number (48710970).

Almost surely, 2^6402660000 is an apocalyptic number.

6402660000 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 6402660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690632800).

6402660000 is an abundant number, since it is smaller than the sum of its proper divisors (16978605600).

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

6402660000 is a wasteful number, since it uses less digits than its factorization.

6402660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6402660000 is about 80016.6232729175. The cubic root of 6402660000 is about 1856.8927191987.

The spelling of 6402660000 in words is "six billion, four hundred two million, six hundred sixty thousand".