4671814197960 has 512 divisors, whose sum is σ = 20293860787200. Its totient is φ = 927718686720.

The previous prime is 4671814197949. The next prime is 4671814197983. The reversal of 4671814197960 is 697914181764.

4671814197960 is a `hidden beast` number, since 4 + 6 + 71 + 81 + 419 + 79 + 6 + 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 127 ways as a sum of consecutive naturals, for example, 272650 + ... + 3068870.

It is an arithmetic number, because the mean of its divisors is an integer number (39636446850).

Almost surely, 2^{4671814197960} is an apocalyptic number.

4671814197960 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 4671814197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146930393600).

4671814197960 is an abundant number, since it is smaller than the sum of its proper divisors (15622046589240).

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

4671814197960 is a wasteful number, since it uses less digits than its factorization.

4671814197960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796278 (or 2796268 counting only the distinct ones).

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

The spelling of 4671814197960 in words is "four trillion, six hundred seventy-one billion, eight hundred fourteen million, one hundred ninety-seven thousand, nine hundred sixty".