7251488640 has 384 divisors, whose sum is σ = 27504528480. Its totient is φ = 1745879040.

The previous prime is 7251488603. The next prime is 7251488693. The reversal of 7251488640 is 468841527.

7251488640 is a `hidden beast` number, since 72 + 514 + 8 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12228184 + ... + 12228776.

Almost surely, 2^7251488640 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 7251488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752264240).

7251488640 is an abundant number, since it is smaller than the sum of its proper divisors (20253039840).

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

7251488640 is a wasteful number, since it uses less digits than its factorization.

7251488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 807 counting only the distinct ones).

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

The square root of 7251488640 is about 85155.6729760267. The cubic root of 7251488640 is about 1935.5707788761.

The spelling of 7251488640 in words is "seven billion, two hundred fifty-one million, four hundred eighty-eight thousand, six hundred forty".