4678046132760 has 5760 divisors, whose sum is σ = 24587343728640. Its totient is φ = 781730611200.

The previous prime is 4678046132687. The next prime is 4678046132797. The reversal of 4678046132760 is 672316408764.

4678046132760 is a `hidden beast` number, since 4 + 6 + 7 + 80 + 461 + 32 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4678046132697 and 4678046132706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 150904713945 + ... + 150904713975.

It is an arithmetic number, because the mean of its divisors is an integer number (4268636064).

Almost surely, 2^{4678046132760} is an apocalyptic number.

4678046132760 is a gapful number since it is divisible by the number (40) 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 4678046132760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293671864320).

4678046132760 is an abundant number, since it is smaller than the sum of its proper divisors (19909297595880).

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

4678046132760 is a wasteful number, since it uses less digits than its factorization.

4678046132760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4678046132760 in words is "four trillion, six hundred seventy-eight billion, forty-six million, one hundred thirty-two thousand, seven hundred sixty".