7257364563240 has 512 divisors, whose sum is σ = 27835488000000. Its totient is φ = 1663397130240.

The previous prime is 7257364563217. The next prime is 7257364563247. The reversal of 7257364563240 is 423654637527.

7257364563240 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 36 + 4 + 563 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7257364563247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112602064 + ... + 112666496.

It is an arithmetic number, because the mean of its divisors is an integer number (54366187500).

Almost surely, 2^{7257364563240} 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 7257364563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917744000000).

7257364563240 is an abundant number, since it is smaller than the sum of its proper divisors (20578123436760).

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

7257364563240 is a wasteful number, since it uses less digits than its factorization.

7257364563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64982 (or 64972 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 7257364563240 in words is "seven trillion, two hundred fifty-seven billion, three hundred sixty-four million, five hundred sixty-three thousand, two hundred forty".