73533364694496 has 672 divisors, whose sum is σ = 265015528968960. Its totient is φ = 19606641297408.

The previous prime is 73533364694459. The next prime is 73533364694513. The reversal of 73533364694496 is 69449646333537.

73533364694496 is a `hidden beast` number, since 7 + 3 + 5 + 3 + 3 + 3 + 6 + 46 + 94 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×73533364694496² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 207698940 + ... + 208052676.

It is an arithmetic number, because the mean of its divisors is an integer number (394368346680).

Almost surely, 2^{73533364694496} is an apocalyptic number.

73533364694496 is a gapful number since it is divisible by the number (76) 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 73533364694496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132507764484480).

73533364694496 is an abundant number, since it is smaller than the sum of its proper divisors (191482164274464).

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

73533364694496 is a wasteful number, since it uses less digits than its factorization.

73533364694496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353858 (or 353835 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 72.

The spelling of 73533364694496 in words is "seventy-three trillion, five hundred thirty-three billion, three hundred sixty-four million, six hundred ninety-four thousand, four hundred ninety-six".