6193004606640 has 240 divisors, whose sum is σ = 20928941587008. Its totient is φ = 1641090299904.

The previous prime is 6193004606611. The next prime is 6193004606641. The reversal of 6193004606640 is 466064003916.

6193004606640 is a `hidden beast` number, since 6 + 1 + 9 + 30 + 0 + 4 + 606 + 6 + 4 + 0 = 666.

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

It is a super-2 number, since 2×6193004606640² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6193004606641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597948342 + ... + 597958698.

Almost surely, 2^{6193004606640} is an apocalyptic number.

6193004606640 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 6193004606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464470793504).

6193004606640 is an abundant number, since it is smaller than the sum of its proper divisors (14735936980368).

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

6193004606640 is a wasteful number, since it uses less digits than its factorization.

6193004606640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15516 (or 15507 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6193004606640 in words is "six trillion, one hundred ninety-three billion, four million, six hundred six thousand, six hundred forty".