7612429440 has 768 divisors, whose sum is σ = 31672811520. Its totient is φ = 1520640000.

The previous prime is 7612429427. The next prime is 7612429453. The reversal of 7612429440 is 449242167.

It is an interprime number because it is at equal distance from previous prime (7612429427) and next prime (7612429453).

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, 50413365 + ... + 50413515.

It is an arithmetic number, because the mean of its divisors is an integer number (41240640).

Almost surely, 2^7612429440 is an apocalyptic number.

7612429440 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 7612429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836405760).

7612429440 is an abundant number, since it is smaller than the sum of its proper divisors (24060382080).

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

7612429440 is a wasteful number, since it uses less digits than its factorization.

7612429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 7612429440 is about 87249.2374751780. The cubic root of 7612429440 is about 1967.1663797036.

The spelling of 7612429440 in words is "seven billion, six hundred twelve million, four hundred twenty-nine thousand, four hundred forty".