7440079104 has 324 divisors, whose sum is σ = 23486964228. Its totient is φ = 2257059840.

The previous prime is 7440079099. The next prime is 7440079151. The reversal of 7440079104 is 4019700447.

It can be written as a sum of positive squares in 6 ways, for example, as 3401222400 + 4038856704 = 58320^2 + 63552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65841352 + ... + 65841464.

Almost surely, 2^7440079104 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 7440079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743482114).

7440079104 is an abundant number, since it is smaller than the sum of its proper divisors (16046885124).

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

7440079104 is a wasteful number, since it uses less digits than its factorization.

7440079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7440079104 is about 86255.8931551926. The cubic root of 7440079104 is about 1952.2069340773.

The spelling of 7440079104 in words is "seven billion, four hundred forty million, seventy-nine thousand, one hundred four".