7621984968 has 64 divisors (see below), whose sum is σ = 20624016000. Its totient is φ = 2333422080.

The previous prime is 7621984967. The next prime is 7621985011. The reversal of 7621984968 is 8694891267.

It is a super-2 number, since 2×7621984968² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7621984967) 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, 708 + ... + 123468.

It is an arithmetic number, because the mean of its divisors is an integer number (322250250).

Almost surely, 2^7621984968 is an apocalyptic number.

7621984968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7621984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312008000).

7621984968 is an abundant number, since it is smaller than the sum of its proper divisors (13002031032).

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

7621984968 is a wasteful number, since it uses less digits than its factorization.

7621984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122982 (or 122978 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 7621984968 is about 87303.9802529071. The cubic root of 7621984968 is about 1967.9891329792.

The spelling of 7621984968 in words is "seven billion, six hundred twenty-one million, nine hundred eighty-four thousand, nine hundred sixty-eight".