6634312798680 has 768 divisors, whose sum is σ = 27930565877760. Its totient is φ = 1381166899200.

The previous prime is 6634312798657. The next prime is 6634312798691. The reversal of 6634312798680 is 868972134366.

6634312798680 is a `hidden beast` number, since 6 + 6 + 343 + 127 + 98 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35764570 + ... + 35949590.

It is an arithmetic number, because the mean of its divisors is an integer number (36367924320).

Almost surely, 2^{6634312798680} is an apocalyptic number.

6634312798680 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 6634312798680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965282938880).

6634312798680 is an abundant number, since it is smaller than the sum of its proper divisors (21296253079080).

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

6634312798680 is a wasteful number, since it uses less digits than its factorization.

6634312798680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185102 (or 185086 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 6634312798680 in words is "six trillion, six hundred thirty-four billion, three hundred twelve million, seven hundred ninety-eight thousand, six hundred eighty".