6657498960 has 160 divisors (see below), whose sum is σ = 23795976960. Its totient is φ = 1508204544.

The previous prime is 6657498959. The next prime is 6657499061. The reversal of 6657498960 is 698947566.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6657498894 and 6657498903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172306 + ... + 207374.

It is an arithmetic number, because the mean of its divisors is an integer number (148724856).

Almost surely, 2^6657498960 is an apocalyptic number.

6657498960 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 6657498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897988480).

6657498960 is an abundant number, since it is smaller than the sum of its proper divisors (17138478000).

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

6657498960 is a wasteful number, since it uses less digits than its factorization.

6657498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35205 (or 35199 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The square root of 6657498960 is about 81593.4982703892. The cubic root of 6657498960 is about 1881.2089477766.

The spelling of 6657498960 in words is "six billion, six hundred fifty-seven million, four hundred ninety-eight thousand, nine hundred sixty".