73736961984 has 896 divisors, whose sum is σ = 280728115200. Its totient is φ = 18704203776.

The previous prime is 73736961973. The next prime is 73736962009. The reversal of 73736961984 is 48916963737.

73736961984 is a `hidden beast` number, since 7 + 3 + 7 + 3 + 6 + 9 + 619 + 8 + 4 = 666.

It is a super-2 number, since 2×73736961984² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316467532 + ... + 316467764.

Almost surely, 2^73736961984 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 73736961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140364057600).

73736961984 is an abundant number, since it is smaller than the sum of its proper divisors (206991153216).

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

73736961984 is a wasteful number, since it uses less digits than its factorization.

73736961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 73736961984 in words is "seventy-three billion, seven hundred thirty-six million, nine hundred sixty-one thousand, nine hundred eighty-four".