73486213790976 has 576 divisors, whose sum is σ = 251865802012160. Its totient is φ = 20959027789824.

The previous prime is 73486213790963. The next prime is 73486213791031. The reversal of 73486213790976 is 67909731268437.

73486213790976 is a `hidden beast` number, since 7 + 3 + 486 + 2 + 1 + 3 + 79 + 0 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261306760 + ... + 2261339256.

Almost surely, 2^{73486213790976} 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 73486213790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125932901006080).

73486213790976 is an abundant number, since it is smaller than the sum of its proper divisors (178379588221184).

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

73486213790976 is an frugal number, since it uses more digits than its factorization.

73486213790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33118 (or 33086 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 73486213790976 in words is "seventy-three trillion, four hundred eighty-six billion, two hundred thirteen million, seven hundred ninety thousand, nine hundred seventy-six".