7709472440 has 64 divisors (see below), whose sum is σ = 17929144800. Its totient is φ = 2981242368.

The previous prime is 7709472439. The next prime is 7709472457. The reversal of 7709472440 is 442749077.

It is a happy number.

It is a super-3 number, since 3×7709472440³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7709472391 and 7709472400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215771 + ... + 248949.

Almost surely, 2^7709472440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7709472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964572400).

7709472440 is an abundant number, since it is smaller than the sum of its proper divisors (10219672360).

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

7709472440 is a wasteful number, since it uses less digits than its factorization.

7709472440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33384 (or 33380 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The square root of 7709472440 is about 87803.6015206666. The cubic root of 7709472440 is about 1975.4902326284.

The spelling of 7709472440 in words is "seven billion, seven hundred nine million, four hundred seventy-two thousand, four hundred forty".