7870429440 has 216 divisors, whose sum is σ = 27400621248. Its totient is φ = 2085703680.

The previous prime is 7870429421. The next prime is 7870429447. The reversal of 7870429440 is 449240787.

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

It is not an unprimeable number, because it can be changed into a prime (7870429447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921795 + ... + 1925885.

It is an arithmetic number, because the mean of its divisors is an integer number (126854728).

Almost surely, 2^7870429440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7870429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700310624).

7870429440 is an abundant number, since it is smaller than the sum of its proper divisors (19530191808).

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

7870429440 is a wasteful number, since it uses less digits than its factorization.

7870429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7870429440 is about 88715.4408206373. The cubic root of 7870429440 is about 1989.1436295723.

The spelling of 7870429440 in words is "seven billion, eight hundred seventy million, four hundred twenty-nine thousand, four hundred forty".