7689929940 has 1152 divisors, whose sum is σ = 33977180160. Its totient is φ = 1405071360.

The previous prime is 7689929939. The next prime is 7689929959. The reversal of 7689929940 is 499299867.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 178835559 + ... + 178835601.

It is an arithmetic number, because the mean of its divisors is an integer number (29494080).

Almost surely, 2^7689929940 is an apocalyptic number.

7689929940 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 7689929940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

7689929940 is an abundant number, since it is smaller than the sum of its proper divisors (26287250220).

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

7689929940 is a wasteful number, since it uses less digits than its factorization.

7689929940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 7689929940 is about 87692.2456092898. The cubic root of 7689929940 is about 1973.8196174822.

The spelling of 7689929940 in words is "seven billion, six hundred eighty-nine million, nine hundred twenty-nine thousand, nine hundred forty".