6349891402140 has 576 divisors, whose sum is σ = 21245391638016. Its totient is φ = 1407580416000.

The previous prime is 6349891402069. The next prime is 6349891402147. The reversal of 6349891402140 is 412041989436.

It is a super-3 number, since 3×6349891402140³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6349891402147) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5654399619 + ... + 5654400741.

Almost surely, 2^{6349891402140} is an apocalyptic number.

6349891402140 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 6349891402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622695819008).

6349891402140 is an abundant number, since it is smaller than the sum of its proper divisors (14895500235876).

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

6349891402140 is a wasteful number, since it uses less digits than its factorization.

6349891402140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 6349891402140 in words is "six trillion, three hundred forty-nine billion, eight hundred ninety-one million, four hundred two thousand, one hundred forty".