6293398704516 has 1536 divisors, whose sum is σ = 22759971225600. Its totient is φ = 1454967360000.

The previous prime is 6293398704493. The next prime is 6293398704569. The reversal of 6293398704516 is 6154078933926.

6293398704516 is a `hidden beast` number, since 6 + 2 + 9 + 3 + 39 + 87 + 0 + 4 + 516 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41678137041 + ... + 41678137191.

It is an arithmetic number, because the mean of its divisors is an integer number (14817689600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6293398704516 = 12586797409032, but 3⋅6293398704516 = 18880196113548 is not.

Almost surely, 2^{6293398704516} is an apocalyptic number.

6293398704516 is a gapful number since it is divisible by the number (66) 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 6293398704516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11379985612800).

6293398704516 is an abundant number, since it is smaller than the sum of its proper divisors (16466572521084).

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

6293398704516 is a wasteful number, since it uses less digits than its factorization.

6293398704516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6293398704516 in words is "six trillion, two hundred ninety-three billion, three hundred ninety-eight million, seven hundred four thousand, five hundred sixteen".