73563261696 has 576 divisors, whose sum is σ = 238941964800. Its totient is φ = 22514319360.

The previous prime is 73563261689. The next prime is 73563261719. The reversal of 73563261696 is 69616236537.

73563261696 is a `hidden beast` number, since 73 + 563 + 2 + 6 + 1 + 6 + 9 + 6 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561551551 + ... + 561551681.

It is an arithmetic number, because the mean of its divisors is an integer number (414829800).

Almost surely, 2^73563261696 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 73563261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119470982400).

73563261696 is an abundant number, since it is smaller than the sum of its proper divisors (165378703104).

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

73563261696 is an equidigital number, since it uses as much as digits as its factorization.

73563261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 212 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 73563261696 in words is "seventy-three billion, five hundred sixty-three million, two hundred sixty-one thousand, six hundred ninety-six".