6101945280 has 336 divisors, whose sum is σ = 21745492704. Its totient is φ = 1569300480.

The previous prime is 6101945257. The next prime is 6101945387. The reversal of 6101945280 is 825491016.

6101945280 is a `hidden beast` number, since 610 + 19 + 4 + 5 + 28 + 0 = 666.

It is a super-2 number, since 2×6101945280² = 74467472400228556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18434715 + ... + 18435045.

Almost surely, 2^6101945280 is an apocalyptic number.

6101945280 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 6101945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872746352).

6101945280 is an abundant number, since it is smaller than the sum of its proper divisors (15643547424).

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

6101945280 is a wasteful number, since it uses less digits than its factorization.

6101945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6101945280 is about 78114.9491454741. The cubic root of 6101945280 is about 1827.3543423451.

The spelling of 6101945280 in words is "six billion, one hundred one million, nine hundred forty-five thousand, two hundred eighty".