4683738012480 has 560 divisors, whose sum is σ = 16836648738624. Its totient is φ = 1235858964480.

The previous prime is 4683738012469. The next prime is 4683738012571. The reversal of 4683738012480 is 842108373864.

4683738012480 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 73 + 80 + 12 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2586270775 + ... + 2586272585.

Almost surely, 2^{4683738012480} is an apocalyptic number.

4683738012480 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 4683738012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418324369312).

4683738012480 is an abundant number, since it is smaller than the sum of its proper divisors (12152910726144).

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

4683738012480 is a wasteful number, since it uses less digits than its factorization.

4683738012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4683738012480 in words is "four trillion, six hundred eighty-three billion, seven hundred thirty-eight million, twelve thousand, four hundred eighty".