7254255697920 has 2560 divisors, whose sum is σ = 33617001369600. Its totient is φ = 1452382617600.

The previous prime is 7254255697903. The next prime is 7254255697993. The reversal of 7254255697920 is 297965524527.

7254255697920 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 2 + 556 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 31677972366 + ... + 31677972594.

It is an arithmetic number, because the mean of its divisors is an integer number (13131641160).

Almost surely, 2^{7254255697920} is an apocalyptic number.

7254255697920 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 7254255697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808500684800).

7254255697920 is an abundant number, since it is smaller than the sum of its proper divisors (26362745671680).

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

7254255697920 is a wasteful number, since it uses less digits than its factorization.

7254255697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 7254255697920 in words is "seven trillion, two hundred fifty-four billion, two hundred fifty-five million, six hundred ninety-seven thousand, nine hundred twenty".