7409634960 has 480 divisors, whose sum is σ = 30478799232. Its totient is φ = 1470873600.

The previous prime is 7409634959. The next prime is 7409634979. The reversal of 7409634960 is 694369047.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2597535 + ... + 2600385.

Almost surely, 2^7409634960 is an apocalyptic number.

7409634960 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 7409634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15239399616).

7409634960 is an abundant number, since it is smaller than the sum of its proper divisors (23069164272).

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

7409634960 is a wasteful number, since it uses less digits than its factorization.

7409634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 7409634960 is about 86079.2365207778. The cubic root of 7409634960 is about 1949.5405413236.

The spelling of 7409634960 in words is "seven billion, four hundred nine million, six hundred thirty-four thousand, nine hundred sixty".