4198791703680 has 512 divisors, whose sum is σ = 17273747980800. Its totient is φ = 943988981760.

The previous prime is 4198791703679. The next prime is 4198791703699. The reversal of 4198791703680 is 863071978914.

4198791703680 is a `hidden beast` number, since 4 + 198 + 79 + 17 + 0 + 368 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 7094034 + ... + 7663086.

It is an arithmetic number, because the mean of its divisors is an integer number (33737789025).

Almost surely, 2^{4198791703680} is an apocalyptic number.

4198791703680 is a gapful number since it is divisible by the number (40) 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 4198791703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636873990400).

4198791703680 is an abundant number, since it is smaller than the sum of its proper divisors (13074956277120).

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

4198791703680 is a wasteful number, since it uses less digits than its factorization.

4198791703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569149 (or 569131 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 4198791703680 in words is "four trillion, one hundred ninety-eight billion, seven hundred ninety-one million, seven hundred three thousand, six hundred eighty".