4681954630080 has 1344 divisors, whose sum is σ = 20543884784640. Its totient is φ = 977475133440.

The previous prime is 4681954630069. The next prime is 4681954630123. The reversal of 4681954630080 is 800364591864.

4681954630080 is a `hidden beast` number, since 4 + 6 + 8 + 19 + 546 + 3 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 4681954629999 and 4681954630026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13492664467 + ... + 13492664813.

It is an arithmetic number, because the mean of its divisors is an integer number (15285628560).

Almost surely, 2^{4681954630080} is an apocalyptic number.

4681954630080 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 4681954630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271942392320).

4681954630080 is an abundant number, since it is smaller than the sum of its proper divisors (15861930154560).

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

4681954630080 is a wasteful number, since it uses less digits than its factorization.

4681954630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4681954630080 in words is "four trillion, six hundred eighty-one billion, nine hundred fifty-four million, six hundred thirty thousand, eighty".