6342998498640 has 560 divisors, whose sum is σ = 22907984576400. Its totient is φ = 1630681694208.

The previous prime is 6342998498587. The next prime is 6342998498713. The reversal of 6342998498640 is 468948992436.

6342998498640 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 9 + 98 + 498 + 6 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 327889083456 + 6015109415184 = 572616^2 + 2452572^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1300591882 + ... + 1300596758.

It is an arithmetic number, because the mean of its divisors is an integer number (40907115315).

Almost surely, 2^{6342998498640} is an apocalyptic number.

6342998498640 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 6342998498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453992288200).

6342998498640 is an abundant number, since it is smaller than the sum of its proper divisors (16564986077760).

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

6342998498640 is a wasteful number, since it uses less digits than its factorization.

6342998498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 6342998498640 in words is "six trillion, three hundred forty-two billion, nine hundred ninety-eight million, four hundred ninety-eight thousand, six hundred forty".