7251776640 has 256 divisors, whose sum is σ = 26232768000. Its totient is φ = 1892450304.

The previous prime is 7251776633. The next prime is 7251776659. The reversal of 7251776640 is 466771527.

7251776640 is a `hidden beast` number, since 7 + 2 + 517 + 76 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807696 + ... + 816624.

It is an arithmetic number, because the mean of its divisors is an integer number (102471750).

Almost surely, 2^7251776640 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 7251776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116384000).

7251776640 is an abundant number, since it is smaller than the sum of its proper divisors (18980991360).

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

7251776640 is a wasteful number, since it uses less digits than its factorization.

7251776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7251776640 is about 85157.3639798696. The cubic root of 7251776640 is about 1935.5964029023.

The spelling of 7251776640 in words is "seven billion, two hundred fifty-one million, seven hundred seventy-six thousand, six hundred forty".