7279921440 has 576 divisors, whose sum is σ = 29520892800. Its totient is φ = 1669662720.

The previous prime is 7279921433. The next prime is 7279921507. The reversal of 7279921440 is 441299727.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 9931314 + ... + 9932046.

It is an arithmetic number, because the mean of its divisors is an integer number (51251550).

Almost surely, 2^7279921440 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 7279921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760446400).

7279921440 is an abundant number, since it is smaller than the sum of its proper divisors (22240971360).

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

7279921440 is a wasteful number, since it uses less digits than its factorization.

7279921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7279921440 is about 85322.4556608634. The cubic root of 7279921440 is about 1938.0972451659.

The spelling of 7279921440 in words is "seven billion, two hundred seventy-nine million, nine hundred twenty-one thousand, four hundred forty".