7642456488 has 128 divisors (see below), whose sum is σ = 23661072000. Its totient is φ = 2271421440.

The previous prime is 7642456483. The next prime is 7642456501. The reversal of 7642456488 is 8846542467.

It is a happy number.

7642456488 is a `hidden beast` number, since 76 + 4 + 2 + 4 + 564 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7642456483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14998 + ... + 124538.

It is an arithmetic number, because the mean of its divisors is an integer number (184852125).

Almost surely, 2^7642456488 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 7642456488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11830536000).

7642456488 is an abundant number, since it is smaller than the sum of its proper divisors (16018615512).

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

7642456488 is a wasteful number, since it uses less digits than its factorization.

7642456488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109592 (or 109582 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 7642456488 is about 87421.1443988238. The cubic root of 7642456488 is about 1969.7494667958.

The spelling of 7642456488 in words is "seven billion, six hundred forty-two million, four hundred fifty-six thousand, four hundred eighty-eight".