7493142074688 has 1344 divisors, whose sum is σ = 24990279874560. Its totient is φ = 2217815728128.

The previous prime is 7493142074633. The next prime is 7493142074767. The reversal of 7493142074688 is 8864702413947.

7493142074688 is a `hidden beast` number, since 7 + 4 + 93 + 1 + 420 + 7 + 46 + 88 = 666.

It is a super-2 number, since 2×7493142074688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47727019506 + ... + 47727019662.

It is an arithmetic number, because the mean of its divisors is an integer number (18593958240).

Almost surely, 2^{7493142074688} 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 7493142074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495139937280).

7493142074688 is an abundant number, since it is smaller than the sum of its proper divisors (17497137799872).

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

7493142074688 is a wasteful number, since it uses less digits than its factorization.

7493142074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7493142074688 in words is "seven trillion, four hundred ninety-three billion, one hundred forty-two million, seventy-four thousand, six hundred eighty-eight".