7487354880 has 672 divisors, whose sum is σ = 29003410800. Its totient is φ = 1847328768.

The previous prime is 7487354873. The next prime is 7487354923. The reversal of 7487354880 is 884537847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126904291 + ... + 126904349.

Almost surely, 2^7487354880 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 7487354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14501705400).

7487354880 is an abundant number, since it is smaller than the sum of its proper divisors (21516055920).

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

7487354880 is an equidigital number, since it uses as much as digits as its factorization.

7487354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 7487354880 is about 86529.5029455272. The cubic root of 7487354880 is about 1956.3331135024. Note that the first 3 decimals are identical.

The spelling of 7487354880 in words is "seven billion, four hundred eighty-seven million, three hundred fifty-four thousand, eight hundred eighty".