7249267952640 has 1056 divisors, whose sum is σ = 30714731274240. Its totient is φ = 1543952793600.

The previous prime is 7249267952603. The next prime is 7249267952743. The reversal of 7249267952640 is 462597629427.

7249267952640 is a `hidden beast` number, since 7 + 2 + 4 + 9 + 2 + 67 + 9 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373837345 + ... + 373856735.

Almost surely, 2^{7249267952640} is an apocalyptic number.

7249267952640 is a gapful number since it is divisible by the number (70) 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 7249267952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357365637120).

7249267952640 is an abundant number, since it is smaller than the sum of its proper divisors (23465463321600).

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

7249267952640 is a wasteful number, since it uses less digits than its factorization.

7249267952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509 (or 19488 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 7249267952640 in words is "seven trillion, two hundred forty-nine billion, two hundred sixty-seven million, nine hundred fifty-two thousand, six hundred forty".