73403635968 has 432 divisors, whose sum is σ = 238427367360. Its totient is φ = 22388908032.

The previous prime is 73403635967. The next prime is 73403635979. The reversal of 73403635968 is 86953630437.

73403635968 is a `hidden beast` number, since 7 + 3 + 40 + 3 + 6 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (73403635967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112409530 + ... + 112410182.

Almost surely, 2^73403635968 is an apocalyptic number.

73403635968 is a gapful number since it is divisible by the number (78) 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 73403635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119213683680).

73403635968 is an abundant number, since it is smaller than the sum of its proper divisors (165023731392).

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

73403635968 is a wasteful number, since it uses less digits than its factorization.

73403635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 73403635968 in words is "seventy-three billion, four hundred three million, six hundred thirty-five thousand, nine hundred sixty-eight".