7251406848 has 832 divisors, whose sum is σ = 28308096000. Its totient is φ = 1783627776.

The previous prime is 7251406847. The next prime is 7251406879. The reversal of 7251406848 is 8486041527.

7251406848 is a `hidden beast` number, since 72 + 514 + 0 + 68 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7251406847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250048498 + ... + 250048526.

Almost surely, 2^7251406848 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 7251406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154048000).

7251406848 is an abundant number, since it is smaller than the sum of its proper divisors (21056689152).

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

7251406848 is a wasteful number, since it uses less digits than its factorization.

7251406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7251406848 is about 85155.1927248127. The cubic root of 7251406848 is about 1935.5635015289.

The spelling of 7251406848 in words is "seven billion, two hundred fifty-one million, four hundred six thousand, eight hundred forty-eight".