73864126444680 has 4096 divisors, whose sum is σ = 321052999680000. Its totient is φ = 14850791424000.

The previous prime is 73864126444637. The next prime is 73864126444697. The reversal of 73864126444680 is 8644462146837.

73864126444680 is a `hidden beast` number, since 7 + 3 + 8 + 6 + 4 + 126 + 44 + 468 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 581607294777 + ... + 581607294903.

It is an arithmetic number, because the mean of its divisors is an integer number (78382080000).

Almost surely, 2^{73864126444680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73864126444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160526499840000).

73864126444680 is an abundant number, since it is smaller than the sum of its proper divisors (247188873235320).

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

73864126444680 is a wasteful number, since it uses less digits than its factorization.

73864126444680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 73864126444680 in words is "seventy-three trillion, eight hundred sixty-four billion, one hundred twenty-six million, four hundred forty-four thousand, six hundred eighty".