7418718720 has 800 divisors, whose sum is σ = 32084553600. Its totient is φ = 1600487424.

The previous prime is 7418718683. The next prime is 7418718721. The reversal of 7418718720 is 278178147.

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 (7418718721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578746 + ... + 27579014.

It is an arithmetic number, because the mean of its divisors is an integer number (40105692).

Almost surely, 2^7418718720 is an apocalyptic number.

7418718720 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 7418718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042276800).

7418718720 is an abundant number, since it is smaller than the sum of its proper divisors (24665834880).

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

7418718720 is a wasteful number, since it uses less digits than its factorization.

7418718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 7418718720 is about 86131.9843031612. The cubic root of 7418718720 is about 1950.3368885402.

The spelling of 7418718720 in words is "seven billion, four hundred eighteen million, seven hundred eighteen thousand, seven hundred twenty".