6021872640 has 704 divisors, whose sum is σ = 25153536000. Its totient is φ = 1365590016.

The previous prime is 6021872629. The next prime is 6021872641. The reversal of 6021872640 is 462781206.

6021872640 is a `hidden beast` number, since 6 + 0 + 2 + 1 + 8 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6021872595 and 6021872604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6021872641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47416257 + ... + 47416383.

Almost surely, 2^6021872640 is an apocalyptic number.

6021872640 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 6021872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576768000).

6021872640 is an abundant number, since it is smaller than the sum of its proper divisors (19131663360).

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

6021872640 is a wasteful number, since it uses less digits than its factorization.

6021872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6021872640 is about 77600.7257698019. The cubic root of 6021872640 is about 1819.3259831578.

The spelling of 6021872640 in words is "six billion, twenty-one million, eight hundred seventy-two thousand, six hundred forty".