4273667723556 has 216 divisors, whose sum is σ = 13740293286720. Its totient is φ = 1107512784000.

The previous prime is 4273667723467. The next prime is 4273667723569. The reversal of 4273667723556 is 6553277663724.

4273667723556 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 6 + 6 + 7 + 72 + 3 + 556 = 666.

It is a super-2 number, since 2×4273667723556² (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 a junction number, because it is equal to n+sod(n) for n = 4273667723493 and 4273667723502.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8267506 + ... + 8769206.

It is an arithmetic number, because the mean of its divisors is an integer number (63612468920).

Almost surely, 2^{4273667723556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4273667723556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870146643360).

4273667723556 is an abundant number, since it is smaller than the sum of its proper divisors (9466625563164).

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

4273667723556 is a wasteful number, since it uses less digits than its factorization.

4273667723556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502175 (or 502163 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 63.

The spelling of 4273667723556 in words is "four trillion, two hundred seventy-three billion, six hundred sixty-seven million, seven hundred twenty-three thousand, five hundred fifty-six".