7488140520 has 256 divisors, whose sum is σ = 26707968000. Its totient is φ = 1643489280.

The previous prime is 7488140519. The next prime is 7488140537. The reversal of 7488140520 is 250418847.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566431 + ... + 3568529.

It is an arithmetic number, because the mean of its divisors is an integer number (104328000).

Almost surely, 2^7488140520 is an apocalyptic number.

7488140520 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 7488140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984000).

7488140520 is an abundant number, since it is smaller than the sum of its proper divisors (19219827480).

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

7488140520 is a wasteful number, since it uses less digits than its factorization.

7488140520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 7488140520 is about 86534.0425497388. The cubic root of 7488140520 is about 1956.4015364109.

The spelling of 7488140520 in words is "seven billion, four hundred eighty-eight million, one hundred forty thousand, five hundred twenty".