7118798400 has 1260 divisors, whose sum is σ = 32584186800. Its totient is φ = 1515386880.

The previous prime is 7118798369. The next prime is 7118798443. The reversal of 7118798400 is 48978117.

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 120657571 + ... + 120657629.

Almost surely, 2^7118798400 is an apocalyptic number.

7118798400 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 7118798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292093400).

7118798400 is an abundant number, since it is smaller than the sum of its proper divisors (25465388400).

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

7118798400 is a wasteful number, since it uses less digits than its factorization.

7118798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7118798400 is about 84372.9719756274. The cubic root of 7118798400 is about 1923.6921143509.

The spelling of 7118798400 in words is "seven billion, one hundred eighteen million, seven hundred ninety-eight thousand, four hundred".