7134660864 has 216 divisors, whose sum is σ = 21325624320. Its totient is φ = 2292240384.

The previous prime is 7134660859. The next prime is 7134660887. The reversal of 7134660864 is 4680664317.

It is a happy number.

7134660864 is a `hidden beast` number, since 7 + 1 + 34 + 6 + 608 + 6 + 4 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10826167 + ... + 10826825.

Almost surely, 2^7134660864 is an apocalyptic number.

7134660864 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 7134660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10662812160).

7134660864 is an abundant number, since it is smaller than the sum of its proper divisors (14190963456).

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

7134660864 is a wasteful number, since it uses less digits than its factorization.

7134660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7134660864 is about 84466.9217149530. The cubic root of 7134660864 is about 1925.1198768547.

The spelling of 7134660864 in words is "seven billion, one hundred thirty-four million, six hundred sixty thousand, eight hundred sixty-four".