7456881888 has 144 divisors (see below), whose sum is σ = 22668006816. Its totient is φ = 2319482880.

The previous prime is 7456881881. The next prime is 7456881889. The reversal of 7456881888 is 8881886547.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7456881881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257856 + ... + 285312.

It is an arithmetic number, because the mean of its divisors is an integer number (157416714).

Almost surely, 2^7456881888 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 7456881888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11334003408).

7456881888 is an abundant number, since it is smaller than the sum of its proper divisors (15211124928).

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

7456881888 is a wasteful number, since it uses less digits than its factorization.

7456881888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27537 (or 27526 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 63.

The square root of 7456881888 is about 86353.2390127898. The cubic root of 7456881888 is about 1953.6754600622.

The spelling of 7456881888 in words is "seven billion, four hundred fifty-six million, eight hundred eighty-one thousand, eight hundred eighty-eight".