7485138624 has 112 divisors (see below), whose sum is σ = 21046598496. Its totient is φ = 2339635200.

The previous prime is 7485138611. The next prime is 7485138631. The reversal of 7485138624 is 4268315847.

It is a super-4 number, since 4×7485138624⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913104 + ... + 921264.

It is an arithmetic number, because the mean of its divisors is an integer number (187916058).

Almost surely, 2^7485138624 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 7485138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523299248).

7485138624 is an abundant number, since it is smaller than the sum of its proper divisors (13561459872).

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

7485138624 is a wasteful number, since it uses less digits than its factorization.

7485138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8464 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 7485138624 is about 86516.6956373162. The cubic root of 7485138624 is about 1956.1400696779.

The spelling of 7485138624 in words is "seven billion, four hundred eighty-five million, one hundred thirty-eight thousand, six hundred twenty-four".