7690152960 has 528 divisors, whose sum is σ = 31616422656. Its totient is φ = 1755758592.

The previous prime is 7690152917. The next prime is 7690152983. The reversal of 7690152960 is 692510967.

It is a happy number.

7690152960 is a `hidden beast` number, since 7 + 69 + 0 + 1 + 529 + 60 = 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 47 ways as a sum of consecutive naturals, for example, 8708679 + ... + 8709561.

Almost surely, 2^7690152960 is an apocalyptic number.

7690152960 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 7690152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808211328).

7690152960 is an abundant number, since it is smaller than the sum of its proper divisors (23926269696).

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

7690152960 is an equidigital number, since it uses as much as digits as its factorization.

7690152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7690152960 is about 87693.5172062337. The cubic root of 7690152960 is about 1973.8386985835.

The spelling of 7690152960 in words is "seven billion, six hundred ninety million, one hundred fifty-two thousand, nine hundred sixty".