6201074880 has 1120 divisors, whose sum is σ = 29740677120. Its totient is φ = 1184440320.

The previous prime is 6201074857. The next prime is 6201074899. The reversal of 6201074880 is 884701026.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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, 25945801 + ... + 25946039.

It is an arithmetic number, because the mean of its divisors is an integer number (26554176).

Almost surely, 2^6201074880 is an apocalyptic number.

6201074880 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 6201074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870338560).

6201074880 is an abundant number, since it is smaller than the sum of its proper divisors (23539602240).

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

6201074880 is a wasteful number, since it uses less digits than its factorization.

6201074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6201074880 is about 78746.9039391391. The cubic root of 6201074880 is about 1837.1967079598.

The spelling of 6201074880 in words is "six billion, two hundred one million, seventy-four thousand, eight hundred eighty".