6935449436160 has 800 divisors, whose sum is σ = 26388278280192. Its totient is φ = 1522029035520.

The previous prime is 6935449436119. The next prime is 6935449436177. The reversal of 6935449436160 is 616349445396.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6935449436094 and 6935449436103.

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, 54609838017 + ... + 54609838143.

Almost surely, 2^{6935449436160} is an apocalyptic number.

6935449436160 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 6935449436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194139140096).

6935449436160 is an abundant number, since it is smaller than the sum of its proper divisors (19452828844032).

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

6935449436160 is an frugal number, since it uses more digits than its factorization.

6935449436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 6935449436160 in words is "six trillion, nine hundred thirty-five billion, four hundred forty-nine million, four hundred thirty-six thousand, one hundred sixty".