4678812877032 has 256 divisors, whose sum is σ = 14955834816000. Its totient is φ = 1327613607936.

The previous prime is 4678812877009. The next prime is 4678812877033. The reversal of 4678812877032 is 2307782188764.

It is a happy number.

4678812877032 is a `hidden beast` number, since 467 + 8 + 81 + 28 + 7 + 70 + 3 + 2 = 666.

It is a super-2 number, since 2×4678812877032² (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 not an unprimeable number, because it can be changed into a prime (4678812877033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130934944 + ... + 130970672.

It is an arithmetic number, because the mean of its divisors is an integer number (58421229750).

Almost surely, 2^{4678812877032} is an apocalyptic number.

4678812877032 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 4678812877032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477917408000).

4678812877032 is an abundant number, since it is smaller than the sum of its proper divisors (10277021938968).

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

4678812877032 is a wasteful number, since it uses less digits than its factorization.

4678812877032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36345 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 4678812877032 in words is "four trillion, six hundred seventy-eight billion, eight hundred twelve million, eight hundred seventy-seven thousand, thirty-two".