7493420712960 has 2816 divisors, whose sum is σ = 34942034534400. Its totient is φ = 1478754828288.

The previous prime is 7493420712901. The next prime is 7493420712961. The reversal of 7493420712960 is 692170243947.

7493420712960 is a `hidden beast` number, since 7 + 4 + 9 + 342 + 0 + 7 + 1 + 296 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7493420712897 and 7493420712906.

It is not an unprimeable number, because it can be changed into a prime (7493420712961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25574814574 + ... + 25574814866.

Almost surely, 2^{7493420712960} is an apocalyptic number.

7493420712960 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 7493420712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471017267200).

7493420712960 is an abundant number, since it is smaller than the sum of its proper divisors (27448613821440).

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

7493420712960 is a wasteful number, since it uses less digits than its factorization.

7493420712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7493420712960 in words is "seven trillion, four hundred ninety-three billion, four hundred twenty million, seven hundred twelve thousand, nine hundred sixty".