7891879464 has 128 divisors (see below), whose sum is σ = 25192876800. Its totient is φ = 2242287360.

The previous prime is 7891879423. The next prime is 7891879469. The reversal of 7891879464 is 4649781987.

7891879464 is a `hidden beast` number, since 7 + 8 + 91 + 87 + 9 + 464 = 666.

It is a super-2 number, since 2×7891879464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7891879469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259254 + ... + 288090.

It is an arithmetic number, because the mean of its divisors is an integer number (196819350).

Almost surely, 2^7891879464 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 7891879464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596438400).

7891879464 is an abundant number, since it is smaller than the sum of its proper divisors (17300997336).

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

7891879464 is a wasteful number, since it uses less digits than its factorization.

7891879464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29040 (or 29030 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 7891879464 is about 88836.2508438982. The cubic root of 7891879464 is about 1990.9490573392.

The spelling of 7891879464 in words is "seven billion, eight hundred ninety-one million, eight hundred seventy-nine thousand, four hundred sixty-four".