73161996768 has 336 divisors, whose sum is σ = 253500276960. Its totient is φ = 20336790528.

The previous prime is 73161996757. The next prime is 73161996779. The reversal of 73161996768 is 86769916137.

73161996768 is a `hidden beast` number, since 7 + 3 + 1 + 619 + 9 + 6 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (73161996757) and next prime (73161996779).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6035898 + ... + 6048006.

It is an arithmetic number, because the mean of its divisors is an integer number (754465110).

Almost surely, 2^73161996768 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 73161996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126750138480).

73161996768 is an abundant number, since it is smaller than the sum of its proper divisors (180338280192).

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

73161996768 is a wasteful number, since it uses less digits than its factorization.

73161996768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12158 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 73161996768 in words is "seventy-three billion, one hundred sixty-one million, nine hundred ninety-six thousand, seven hundred sixty-eight".