4297346887680 has 2080 divisors, whose sum is σ = 20346160919040. Its totient is φ = 840003747840.

The previous prime is 4297346887661. The next prime is 4297346887721. The reversal of 4297346887680 is 867886437924.

4297346887680 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 3 + 468 + 87 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4297346887599 and 4297346887608.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2171472931 + ... + 2171474909.

Almost surely, 2^{4297346887680} is an apocalyptic number.

4297346887680 is a gapful number since it is divisible by the number (40) 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 4297346887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173080459520).

4297346887680 is an abundant number, since it is smaller than the sum of its proper divisors (16048814031360).

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

4297346887680 is a wasteful number, since it uses less digits than its factorization.

4297346887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 4297346887680 in words is "four trillion, two hundred ninety-seven billion, three hundred forty-six million, eight hundred eighty-seven thousand, six hundred eighty".