73534982976 has 560 divisors, whose sum is σ = 271218452736. Its totient is φ = 19181961216.

The previous prime is 73534982947. The next prime is 73534983023. The reversal of 73534982976 is 67928943537.

73534982976 is a `hidden beast` number, since 7 + 3 + 53 + 498 + 2 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45758365 + ... + 45759971.

Almost surely, 2^73534982976 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 73534982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135609226368).

73534982976 is an abundant number, since it is smaller than the sum of its proper divisors (197683469760).

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

73534982976 is a wasteful number, since it uses less digits than its factorization.

73534982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1729 counting only the distinct ones).

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

The spelling of 73534982976 in words is "seventy-three billion, five hundred thirty-four million, nine hundred eighty-two thousand, nine hundred seventy-six".