73842511200696 has 96 divisors (see below), whose sum is σ = 238606753914000. Its totient is φ = 21097860340032.

The previous prime is 73842511200649. The next prime is 73842511200709. The reversal of 73842511200696 is 69600211524837.

It is a happy number.

73842511200696 is a `hidden beast` number, since 7 + 3 + 8 + 42 + 511 + 20 + 0 + 69 + 6 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3488392251 + ... + 3488413418.

It is a 2-persistent number, because it is pandigital, and so is 2⋅73842511200696 = 147685022401392, but 3⋅73842511200696 = 221527533602088 is not.

Almost surely, 2^{73842511200696} is an apocalyptic number.

It is an amenable number.

73842511200696 is an abundant number, since it is smaller than the sum of its proper divisors (164764242713304).

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

73842511200696 is a wasteful number, since it uses less digits than its factorization.

73842511200696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976805698 (or 6976805681 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73842511200696 in words is "seventy-three trillion, eight hundred forty-two billion, five hundred eleven million, two hundred thousand, six hundred ninety-six".