7134656256 has 720 divisors, whose sum is σ = 27700288000. Its totient is φ = 1773674496.

The previous prime is 7134656219. The next prime is 7134656273. The reversal of 7134656256 is 6526564317.

7134656256 is a `hidden beast` number, since 7 + 1 + 34 + 6 + 562 + 56 = 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 79 ways as a sum of consecutive naturals, for example, 35852445 + ... + 35852643.

Almost surely, 2^7134656256 is an apocalyptic number.

7134656256 is a gapful number since it is divisible by the number (76) 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 7134656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850144000).

7134656256 is an abundant number, since it is smaller than the sum of its proper divisors (20565631744).

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

7134656256 is a wasteful number, since it uses less digits than its factorization.

7134656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 7134656256 is about 84466.8944379986. The cubic root of 7134656256 is about 1925.1194624012.

The spelling of 7134656256 in words is "seven billion, one hundred thirty-four million, six hundred fifty-six thousand, two hundred fifty-six".