7980135660 has 384 divisors, whose sum is σ = 31172198400. Its totient is φ = 1652555520.

The previous prime is 7980135659. The next prime is 7980135677. The reversal of 7980135660 is 665310897.

It is a happy number.

7980135660 is a `hidden beast` number, since 7 + 9 + 80 + 1 + 3 + 566 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1649445 + ... + 1654275.

It is an arithmetic number, because the mean of its divisors is an integer number (81177600).

Almost surely, 2^7980135660 is an apocalyptic number.

7980135660 is a gapful number since it is divisible by the number (70) 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 7980135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586099200).

7980135660 is an abundant number, since it is smaller than the sum of its proper divisors (23192062740).

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

7980135660 is a wasteful number, since it uses less digits than its factorization.

7980135660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7980135660 is about 89331.6050454709. The cubic root of 7980135660 is about 1998.3432663291.

The spelling of 7980135660 in words is "seven billion, nine hundred eighty million, one hundred thirty-five thousand, six hundred sixty".