104748767645760 has 896 divisors, whose sum is σ = 432905664844800. Its totient is φ = 23343237365760.

The previous prime is 104748767645749. The next prime is 104748767645771. The reversal of 104748767645760 is 67546767847401.

104748767645760 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 48 + 7 + 6 + 7 + 6 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104748767645749) and next prime (104748767645771).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3999710746 + ... + 3999736934.

It is an arithmetic number, because the mean of its divisors is an integer number (483153643800).

Almost surely, 2^{104748767645760} is an apocalyptic number.

104748767645760 is a gapful number since it is divisible by the number (10) 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 104748767645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216452832422400).

104748767645760 is an abundant number, since it is smaller than the sum of its proper divisors (328156897199040).

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

104748767645760 is a wasteful number, since it uses less digits than its factorization.

104748767645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27876 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 104748767645760 in words is "one hundred four trillion, seven hundred forty-eight billion, seven hundred sixty-seven million, six hundred forty-five thousand, seven hundred sixty".