6602715025920 has 2400 divisors, whose sum is σ = 27155564053200. Its totient is φ = 1530352631808.

The previous prime is 6602715025877. The next prime is 6602715025927. The reversal of 6602715025920 is 295205172066.

6602715025920 is a `hidden beast` number, since 6 + 6 + 0 + 2 + 7 + 1 + 50 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1991079035136 + 4611635990784 = 1411056^2 + 2147472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6602715025927) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74187809236 + ... + 74187809324.

Almost surely, 2^{6602715025920} is an apocalyptic number.

6602715025920 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 6602715025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577782026600).

6602715025920 is an abundant number, since it is smaller than the sum of its proper divisors (20552849027280).

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

6602715025920 is a wasteful number, since it uses less digits than its factorization.

6602715025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 6602715025920 in words is "six trillion, six hundred two billion, seven hundred fifteen million, twenty-five thousand, nine hundred twenty".