4306879467072 has 2688 divisors, whose sum is σ = 17611100160000. Its totient is φ = 1027118776320.

The previous prime is 4306879467067. The next prime is 4306879467073. The reversal of 4306879467072 is 2707649786034.

It is a happy number.

4306879467072 is a `hidden beast` number, since 4 + 30 + 6 + 8 + 79 + 467 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4306879467073) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58998348828 + ... + 58998348900.

Almost surely, 2^{4306879467072} is an apocalyptic number.

4306879467072 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 4306879467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805550080000).

4306879467072 is an abundant number, since it is smaller than the sum of its proper divisors (13304220692928).

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

4306879467072 is a wasteful number, since it uses less digits than its factorization.

4306879467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4306879467072 in words is "four trillion, three hundred six billion, eight hundred seventy-nine million, four hundred sixty-seven thousand, seventy-two".