7156251648 has 792 divisors, whose sum is σ = 27521309088. Its totient is φ = 1771241472.

The previous prime is 7156251623. The next prime is 7156251649. The reversal of 7156251648 is 8461526517.

7156251648 is a `hidden beast` number, since 7 + 1 + 5 + 625 + 16 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7156251649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135023590 + ... + 135023642.

Almost surely, 2^7156251648 is an apocalyptic number.

7156251648 is a gapful number since it is divisible by the number (78) 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 7156251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760654544).

7156251648 is an abundant number, since it is smaller than the sum of its proper divisors (20365057440).

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

7156251648 is a wasteful number, since it uses less digits than its factorization.

7156251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 7156251648 is about 84594.6313190146. The cubic root of 7156251648 is about 1927.0598424664.

The spelling of 7156251648 in words is "seven billion, one hundred fifty-six million, two hundred fifty-one thousand, six hundred forty-eight".