8279507964 has 192 divisors, whose sum is σ = 24251867136. Its totient is φ = 2140459776.

The previous prime is 8279507959. The next prime is 8279507969. The reversal of 8279507964 is 4697059728.

It is an interprime number because it is at equal distance from previous prime (8279507959) and next prime (8279507969).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8279507969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15135939 + ... + 15136485.

It is an arithmetic number, because the mean of its divisors is an integer number (126311808).

Almost surely, 2^8279507964 is an apocalyptic number.

8279507964 is a gapful number since it is divisible by the number (84) 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 8279507964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125933568).

8279507964 is an abundant number, since it is smaller than the sum of its proper divisors (15972359172).

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

8279507964 is a wasteful number, since it uses less digits than its factorization.

8279507964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 8279507964 is about 90991.8016306964. The cubic root of 8279507964 is about 2023.0262097781.

The spelling of 8279507964 in words is "eight billion, two hundred seventy-nine million, five hundred seven thousand, nine hundred sixty-four".