7906429440 has 800 divisors, whose sum is σ = 34936513920. Its totient is φ = 1664188416.

The previous prime is 7906429429. The next prime is 7906429481. The reversal of 7906429440 is 449246097.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869551 + ... + 18869969.

Almost surely, 2^7906429440 is an apocalyptic number.

7906429440 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 7906429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468256960).

7906429440 is an abundant number, since it is smaller than the sum of its proper divisors (27030084480).

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

7906429440 is a wasteful number, since it uses less digits than its factorization.

7906429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7906429440 is about 88918.1052429706. The cubic root of 7906429440 is about 1992.1718533692.

The spelling of 7906429440 in words is "seven billion, nine hundred six million, four hundred twenty-nine thousand, four hundred forty".