7689349440 has 280 divisors, whose sum is σ = 27992527200. Its totient is φ = 2002516992.

The previous prime is 7689349439. The next prime is 7689349471. The reversal of 7689349440 is 449439867.

It is a happy number.

7689349440 is a `hidden beast` number, since 7 + 68 + 93 + 494 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1111111 + ... + 1118009.

Almost surely, 2^7689349440 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 7689349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996263600).

7689349440 is an abundant number, since it is smaller than the sum of its proper divisors (20303177760).

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

7689349440 is a wasteful number, since it uses less digits than its factorization.

7689349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 7689349440 is about 87688.9356760589. The cubic root of 7689349440 is about 1973.7699494476.

The spelling of 7689349440 in words is "seven billion, six hundred eighty-nine million, three hundred forty-nine thousand, four hundred forty".