73699319675520 has 4608 divisors, whose sum is σ = 357043321440000. Its totient is φ = 13787112407040.

The previous prime is 73699319675507. The next prime is 73699319675581. The reversal of 73699319675520 is 2557691399637.

73699319675520 is a `hidden beast` number, since 7 + 3 + 6 + 9 + 9 + 3 + 1 + 9 + 67 + 552 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 273975165946 + ... + 273975166214.

Almost surely, 2^{73699319675520} is an apocalyptic number.

73699319675520 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 73699319675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178521660720000).

73699319675520 is an abundant number, since it is smaller than the sum of its proper divisors (283344001764480).

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

73699319675520 is a wasteful number, since it uses less digits than its factorization.

73699319675520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 578680200, while the sum is 72.

The spelling of 73699319675520 in words is "seventy-three trillion, six hundred ninety-nine billion, three hundred nineteen million, six hundred seventy-five thousand, five hundred twenty".