102704467380480 has 1152 divisors, whose sum is σ = 432087131750400. Its totient is φ = 22612657766400.

The previous prime is 102704467380479. The next prime is 102704467380491. The reversal of 102704467380480 is 84083764407201.

102704467380480 is a `hidden beast` number, since 1 + 0 + 2 + 70 + 4 + 4 + 67 + 38 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 783513345 + ... + 783644415.

It is an arithmetic number, because the mean of its divisors is an integer number (375075635200).

Almost surely, 2^{102704467380480} is an apocalyptic number.

102704467380480 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 102704467380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216043565875200).

102704467380480 is an abundant number, since it is smaller than the sum of its proper divisors (329382664369920).

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

102704467380480 is a wasteful number, since it uses less digits than its factorization.

102704467380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131228 (or 131208 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 102704467380480 in words is "one hundred two trillion, seven hundred four billion, four hundred sixty-seven million, three hundred eighty thousand, four hundred eighty".