7897867264 has 176 divisors, whose sum is σ = 18783140992. Its totient is φ = 3248750592.

The previous prime is 7897867261. The next prime is 7897867273. The reversal of 7897867264 is 4627687987.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 7897867196 and 7897867205.

It is not an unprimeable number, because it can be changed into a prime (7897867261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25725799 + ... + 25726105.

It is an arithmetic number, because the mean of its divisors is an integer number (106722392).

Almost surely, 2^7897867264 is an apocalyptic number.

7897867264 is a gapful number since it is divisible by the number (74) 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 7897867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391570496).

7897867264 is an abundant number, since it is smaller than the sum of its proper divisors (10885273728).

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

7897867264 is a wasteful number, since it uses less digits than its factorization.

7897867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

The square root of 7897867264 is about 88869.9457859630. The cubic root of 7897867264 is about 1991.4524604914.

The spelling of 7897867264 in words is "seven billion, eight hundred ninety-seven million, eight hundred sixty-seven thousand, two hundred sixty-four".