4718921461760 has 624 divisors, whose sum is σ = 12986791969536. Its totient is φ = 1631895552000.

The previous prime is 4718921461753. The next prime is 4718921461763. The reversal of 4718921461760 is 671641298174.

It is a junction number, because it is equal to n+sod(n) for n = 4718921461696 and 4718921461705.

It is not an unprimeable number, because it can be changed into a prime (4718921461763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15371079527 + ... + 15371079833.

Almost surely, 2^{4718921461760} is an apocalyptic number.

4718921461760 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 4718921461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493395984768).

4718921461760 is an abundant number, since it is smaller than the sum of its proper divisors (8267870507776).

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

4718921461760 is a wasteful number, since it uses less digits than its factorization.

4718921461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 4718921461760 in words is "four trillion, seven hundred eighteen billion, nine hundred twenty-one million, four hundred sixty-one thousand, seven hundred sixty".