6100782704640 has 1152 divisors, whose sum is σ = 24265449936000. Its totient is φ = 1405116481536.

The previous prime is 6100782704623. The next prime is 6100782704677. The reversal of 6100782704640 is 464072870016.

6100782704640 is a `hidden beast` number, since 6 + 100 + 7 + 82 + 7 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1889370546 + ... + 1889373774.

It is an arithmetic number, because the mean of its divisors is an integer number (21063758625).

Almost surely, 2^{6100782704640} is an apocalyptic number.

6100782704640 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 6100782704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132724968000).

6100782704640 is an abundant number, since it is smaller than the sum of its proper divisors (18164667231360).

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

6100782704640 is a wasteful number, since it uses less digits than its factorization.

6100782704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6100782704640 in words is "six trillion, one hundred billion, seven hundred eighty-two million, seven hundred four thousand, six hundred forty".