7968653100 has 288 divisors, whose sum is σ = 27358248960. Its totient is φ = 1982776320.

The previous prime is 7968653041. The next prime is 7968653149. The reversal of 7968653100 is 13568697.

It is a happy number.

It is a super-2 number, since 2×7968653100² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5828617 + ... + 5829983.

It is an arithmetic number, because the mean of its divisors is an integer number (94993920).

Almost surely, 2^7968653100 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 7968653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679124480).

7968653100 is an abundant number, since it is smaller than the sum of its proper divisors (19389595860).

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

7968653100 is a wasteful number, since it uses less digits than its factorization.

7968653100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7968653100 is about 89267.3126065751. The cubic root of 7968653100 is about 1997.3843389833.

The spelling of 7968653100 in words is "seven billion, nine hundred sixty-eight million, six hundred fifty-three thousand, one hundred".