4187808963072 has 960 divisors, whose sum is σ = 14711552114688. Its totient is φ = 1121734656000.

The previous prime is 4187808963059. The next prime is 4187808963089. The reversal of 4187808963072 is 2703698087814.

4187808963072 is a `hidden beast` number, since 418 + 7 + 80 + 89 + 63 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×4187808963072² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4330722333 + ... + 4330723299.

Almost surely, 2^{4187808963072} is an apocalyptic number.

4187808963072 is a gapful number since it is divisible by the number (42) 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 4187808963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355776057344).

4187808963072 is an abundant number, since it is smaller than the sum of its proper divisors (10523743151616).

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

4187808963072 is a wasteful number, since it uses less digits than its factorization.

4187808963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 4187808963072 in words is "four trillion, one hundred eighty-seven billion, eight hundred eight million, nine hundred sixty-three thousand, seventy-two".