6874281597120 has 224 divisors, whose sum is σ = 24945740840448. Its totient is φ = 1571143483392.

The previous prime is 6874281597107. The next prime is 6874281597163. The reversal of 6874281597120 is 217951824786.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110358304 + ... + 110420576.

Almost surely, 2^{6874281597120} is an apocalyptic number.

6874281597120 is a gapful number since it is divisible by the number (60) 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 6874281597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472870420224).

6874281597120 is an abundant number, since it is smaller than the sum of its proper divisors (18071459243328).

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

6874281597120 is a wasteful number, since it uses less digits than its factorization.

6874281597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78727 (or 78717 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 6874281597120 in words is "six trillion, eight hundred seventy-four billion, two hundred eighty-one million, five hundred ninety-seven thousand, one hundred twenty".