7484862240 has 192 divisors, whose sum is σ = 26273963520. Its totient is φ = 1990103040.

The previous prime is 7484862233. The next prime is 7484862257. The reversal of 7484862240 is 422684847.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583080 + ... + 1587800.

It is an arithmetic number, because the mean of its divisors is an integer number (136843560).

Almost surely, 2^7484862240 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 7484862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136981760).

7484862240 is an abundant number, since it is smaller than the sum of its proper divisors (18789101280).

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

7484862240 is a wasteful number, since it uses less digits than its factorization.

7484862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7484862240 is about 86515.0983354929. The cubic root of 7484862240 is about 1956.1159929708.

The spelling of 7484862240 in words is "seven billion, four hundred eighty-four million, eight hundred sixty-two thousand, two hundred forty".