7618098720 has 384 divisors, whose sum is σ = 25880020992. Its totient is φ = 1880064000.

The previous prime is 7618098707. The next prime is 7618098721. The reversal of 7618098720 is 278908167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7618098720.

It is not an unprimeable number, because it can be changed into a prime (7618098721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55606492 + ... + 55606628.

It is an arithmetic number, because the mean of its divisors is an integer number (67395888).

Almost surely, 2^7618098720 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 7618098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940010496).

7618098720 is an abundant number, since it is smaller than the sum of its proper divisors (18261922272).

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

7618098720 is a wasteful number, since it uses less digits than its factorization.

7618098720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 7618098720 is about 87281.7204230072. The cubic root of 7618098720 is about 1967.6546009605.

The spelling of 7618098720 in words is "seven billion, six hundred eighteen million, ninety-eight thousand, seven hundred twenty".