6093872640 has 240 divisors, whose sum is σ = 21622897296. Its totient is φ = 1585152000.

The previous prime is 6093872639. The next prime is 6093872651. The reversal of 6093872640 is 462783906.

6093872640 is a `hidden beast` number, since 6 + 0 + 9 + 387 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941415 + ... + 947865.

Almost surely, 2^6093872640 is an apocalyptic number.

6093872640 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 6093872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811448648).

6093872640 is an abundant number, since it is smaller than the sum of its proper divisors (15529024656).

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

6093872640 is a wasteful number, since it uses less digits than its factorization.

6093872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6093872640 is about 78063.2605006990. The cubic root of 6093872640 is about 1826.5481467730.

The spelling of 6093872640 in words is "six billion, ninety-three million, eight hundred seventy-two thousand, six hundred forty".