7923229440 has 432 divisors, whose sum is σ = 31180336992. Its totient is φ = 1703804928.

The previous prime is 7923229399. The next prime is 7923229481. The reversal of 7923229440 is 449223297.

It is an interprime number because it is at equal distance from previous prime (7923229399) and next prime (7923229481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7923229392 and 7923229401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3197482 + ... + 3199958.

It is an arithmetic number, because the mean of its divisors is an integer number (72176706).

Almost surely, 2^7923229440 is an apocalyptic number.

7923229440 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 7923229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590168496).

7923229440 is an abundant number, since it is smaller than the sum of its proper divisors (23257107552).

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

7923229440 is a wasteful number, since it uses less digits than its factorization.

7923229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 7923229440 is about 89012.5240626284. The cubic root of 7923229440 is about 1993.5818792276.

The spelling of 7923229440 in words is "seven billion, nine hundred twenty-three million, two hundred twenty-nine thousand, four hundred forty".