7456899954240 has 672 divisors, whose sum is σ = 28839433214592. Its totient is φ = 1752772608000.

The previous prime is 7456899954221. The next prime is 7456899954241. The reversal of 7456899954240 is 424599986547.

7456899954240 is a `hidden beast` number, since 7 + 4 + 568 + 9 + 9 + 9 + 54 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7456899954241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211699830 + ... + 211735050.

It is an arithmetic number, because the mean of its divisors is an integer number (42915823236).

Almost surely, 2^{7456899954240} 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 7456899954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419716607296).

7456899954240 is an abundant number, since it is smaller than the sum of its proper divisors (21382533260352).

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

7456899954240 is a wasteful number, since it uses less digits than its factorization.

7456899954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35459 (or 35446 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 7456899954240 in words is "seven trillion, four hundred fifty-six billion, eight hundred ninety-nine million, nine hundred fifty-four thousand, two hundred forty".