7541313888 has 96 divisors (see below), whose sum is σ = 20057103360. Its totient is φ = 2480762880.

The previous prime is 7541313887. The next prime is 7541313893. The reversal of 7541313888 is 8883131457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7541313881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4012533 + ... + 4014411.

It is an arithmetic number, because the mean of its divisors is an integer number (208928160).

Almost surely, 2^7541313888 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 7541313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028551680).

7541313888 is an abundant number, since it is smaller than the sum of its proper divisors (12515789472).

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

7541313888 is a wasteful number, since it uses less digits than its factorization.

7541313888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 7541313888 is about 86840.7386426440. The cubic root of 7541313888 is about 1961.0214278983.

The spelling of 7541313888 in words is "seven billion, five hundred forty-one million, three hundred thirteen thousand, eight hundred eighty-eight".