6149195846640 has 640 divisors, whose sum is σ = 26451449856000. Its totient is φ = 1275601167360.

The previous prime is 6149195846621. The next prime is 6149195846641. The reversal of 6149195846640 is 466485919416.

It is a happy number.

6149195846640 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 1 + 9 + 584 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149195846641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99594819 + ... + 99656541.

It is an arithmetic number, because the mean of its divisors is an integer number (41330390400).

Almost surely, 2^{6149195846640} is an apocalyptic number.

6149195846640 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 6149195846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225724928000).

6149195846640 is an abundant number, since it is smaller than the sum of its proper divisors (20302254009360).

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

6149195846640 is a wasteful number, since it uses less digits than its factorization.

6149195846640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62362 (or 62350 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6149195846640 in words is "six trillion, one hundred forty-nine billion, one hundred ninety-five million, eight hundred forty-six thousand, six hundred forty".