4287906167076 has 243 divisors, whose sum is σ = 12894751842609. Its totient is φ = 1197906708096.

The previous prime is 4287906167021. The next prime is 4287906167081. The reversal of 4287906167076 is 6707616097824.

The square root of 4287906167076 is 2070726.

It is a perfect power (a square), and thus also a powerful number.

4287906167076 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 9 + 0 + 616 + 7 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3888886544676 + 399019622400 = 1972026^2 + 631680^2 .

It is a super-2 number, since 2×4287906167076² (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 80 ways as a sum of consecutive naturals, for example, 4087612600 + ... + 4087613648.

Almost surely, 2^{4287906167076} is an apocalyptic number.

4287906167076 is the 2070726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287906167076

4287906167076 is an abundant number, since it is smaller than the sum of its proper divisors (8606845675533).

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

4287906167076 is a wasteful number, since it uses less digits than its factorization.

4287906167076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 4287906167076 in words is "four trillion, two hundred eighty-seven billion, nine hundred six million, one hundred sixty-seven thousand, seventy-six".