7654531968 has 128 divisors (see below), whose sum is σ = 22622457600. Its totient is φ = 2548016640.

The previous prime is 7654531961. The next prime is 7654531981. The reversal of 7654531968 is 8691354567.

7654531968 is a `hidden beast` number, since 7 + 6 + 545 + 3 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7654531961) 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, 4225783 + ... + 4227593.

It is an arithmetic number, because the mean of its divisors is an integer number (176737950).

Almost surely, 2^7654531968 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 7654531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311228800).

7654531968 is an abundant number, since it is smaller than the sum of its proper divisors (14967925632).

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

7654531968 is a wasteful number, since it uses less digits than its factorization.

7654531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3039 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 7654531968 is about 87490.1821234817. The cubic root of 7654531968 is about 1970.7863565175.

The spelling of 7654531968 in words is "seven billion, six hundred fifty-four million, five hundred thirty-one thousand, nine hundred sixty-eight".