73840999680 has 720 divisors, whose sum is σ = 306428500224. Its totient is φ = 16628613120.

The previous prime is 73840999667. The next prime is 73840999699. The reversal of 73840999680 is 8699904837.

73840999680 is a `hidden beast` number, since 7 + 384 + 0 + 99 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 51528244 + ... + 51529676.

Almost surely, 2^73840999680 is an apocalyptic number.

73840999680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73840999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153214250112).

73840999680 is an abundant number, since it is smaller than the sum of its proper divisors (232587500544).

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

73840999680 is a wasteful number, since it uses less digits than its factorization.

73840999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 73840999680 in words is "seventy-three billion, eight hundred forty million, nine hundred ninety-nine thousand, six hundred eighty".