73921132606464 has 1056 divisors, whose sum is σ = 265744258416000. Its totient is φ = 19456512491520.

The previous prime is 73921132606463. The next prime is 73921132606469. The reversal of 73921132606464 is 46460623112937.

73921132606464 is a `hidden beast` number, since 7 + 3 + 9 + 2 + 113 + 2 + 60 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 73921132606464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73921132606463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3730931022 + ... + 3730950834.

Almost surely, 2^{73921132606464} 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 73921132606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132872129208000).

73921132606464 is an abundant number, since it is smaller than the sum of its proper divisors (191823125809536).

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

73921132606464 is a wasteful number, since it uses less digits than its factorization.

73921132606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20031 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 73921132606464 in words is "seventy-three trillion, nine hundred twenty-one billion, one hundred thirty-two million, six hundred six thousand, four hundred sixty-four".