7525740000 has 120 divisors (see below), whose sum is σ = 24686129160. Its totient is φ = 2006848000.

The previous prime is 7525739983. The next prime is 7525740049. The reversal of 7525740000 is 475257.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7525740000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2715 + ... + 122714.

It is an arithmetic number, because the mean of its divisors is an integer number (205717743).

Almost surely, 2^7525740000 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 7525740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343064580).

7525740000 is an abundant number, since it is smaller than the sum of its proper divisors (17160389160).

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

7525740000 is a wasteful number, since it uses less digits than its factorization.

7525740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125462 (or 125439 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 7525740000 is about 86751.0230487226. The cubic root of 7525740000 is about 1959.6705679844.

The spelling of 7525740000 in words is "seven billion, five hundred twenty-five million, seven hundred forty thousand".