7621591968 has 144 divisors (see below), whose sum is σ = 22813670880. Its totient is φ = 2502441216.

The previous prime is 7621591951. The next prime is 7621592003. The reversal of 7621591968 is 8691951267.

7621591968 is a `hidden beast` number, since 7 + 621 + 5 + 9 + 1 + 9 + 6 + 8 = 666.

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

It is a super-2 number, since 2×7621591968² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513678 + ... + 528306.

It is an arithmetic number, because the mean of its divisors is an integer number (158428270).

Almost surely, 2^7621591968 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 7621591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406835440).

7621591968 is an abundant number, since it is smaller than the sum of its proper divisors (15192078912).

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

7621591968 is a wasteful number, since it uses less digits than its factorization.

7621591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14701 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 7621591968 is about 87301.7294674052. The cubic root of 7621591968 is about 1967.9553083248.

The spelling of 7621591968 in words is "seven billion, six hundred twenty-one million, five hundred ninety-one thousand, nine hundred sixty-eight".