7935408390 has 192 divisors, whose sum is σ = 24150825216. Its totient is φ = 1653781248.

The previous prime is 7935408379. The next prime is 7935408413. The reversal of 7935408390 is 938045397.

It is a congruent number.

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, 1583629 + ... + 1588631.

It is an arithmetic number, because the mean of its divisors is an integer number (125785548).

Almost surely, 2^7935408390 is an apocalyptic number.

7935408390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7935408390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075412608).

7935408390 is an abundant number, since it is smaller than the sum of its proper divisors (16215416826).

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

7935408390 is a wasteful number, since it uses less digits than its factorization.

7935408390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 7935408390 is about 89080.9092342461. The cubic root of 7935408390 is about 1994.6028141272.

The spelling of 7935408390 in words is "seven billion, nine hundred thirty-five million, four hundred eight thousand, three hundred ninety".