73949705201664 has 384 divisors, whose sum is σ = 238024410624000. Its totient is φ = 22599220838400.

The previous prime is 73949705201663. The next prime is 73949705201719. The reversal of 73949705201664 is 46610250794937.

73949705201664 is a `hidden beast` number, since 7 + 3 + 9 + 4 + 97 + 0 + 520 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (73949705201663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31434079 + ... + 33704609.

It is an arithmetic number, because the mean of its divisors is an integer number (619855236000).

Almost surely, 2^{73949705201664} 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 73949705201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119012205312000).

73949705201664 is an abundant number, since it is smaller than the sum of its proper divisors (164074705422336).

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

73949705201664 is a wasteful number, since it uses less digits than its factorization.

73949705201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270612 (or 2270586 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 73949705201664 in words is "seventy-three trillion, nine hundred forty-nine billion, seven hundred five million, two hundred one thousand, six hundred sixty-four".