7126985874960 has 480 divisors, whose sum is σ = 28256276625408. Its totient is φ = 1575368663040.

The previous prime is 7126985874881. The next prime is 7126985874973. The reversal of 7126985874960 is 694785896217.

7126985874960 is a `hidden beast` number, since 7 + 126 + 9 + 8 + 5 + 8 + 7 + 496 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233251044 + ... + 233281596.

Almost surely, 2^{7126985874960} is an apocalyptic number.

7126985874960 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 7126985874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128138312704).

7126985874960 is an abundant number, since it is smaller than the sum of its proper divisors (21129290750448).

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

7126985874960 is a wasteful number, since it uses less digits than its factorization.

7126985874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32103 (or 32094 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 7126985874960 in words is "seven trillion, one hundred twenty-six billion, nine hundred eighty-five million, eight hundred seventy-four thousand, nine hundred sixty".