7457972121600 has 2496 divisors, whose sum is σ = 33635553853440. Its totient is φ = 1407791923200.

The previous prime is 7457972121577. The next prime is 7457972121623. The reversal of 7457972121600 is 61212797547.

It is an interprime number because it is at equal distance from previous prime (7457972121577) and next prime (7457972121623).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 24293068647 + ... + 24293068953.

Almost surely, 2^{7457972121600} is an apocalyptic number.

7457972121600 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 7457972121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817776926720).

7457972121600 is an abundant number, since it is smaller than the sum of its proper divisors (26177581731840).

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

7457972121600 is a wasteful number, since it uses less digits than its factorization.

7457972121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 7457972121600 in words is "seven trillion, four hundred fifty-seven billion, nine hundred seventy-two million, one hundred twenty-one thousand, six hundred".