73688948775 has 192 divisors, whose sum is σ = 154295680000. Its totient is φ = 34180185600.

The previous prime is 73688948741. The next prime is 73688948777. The reversal of 73688948775 is 57784988637.

73688948775 is a `hidden beast` number, since 7 + 3 + 68 + 89 + 487 + 7 + 5 = 666.

It is not a de Polignac number, because 73688948775 - 2³² = 69393981479 is a prime.

It is a super-2 number, since 2×73688948775² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73688948777) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33177165 + ... + 33179385.

Almost surely, 2^73688948775 is an apocalyptic number.

73688948775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73688948775 is an abundant number, since it is smaller than the sum of its proper divisors (80606731225).

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

73688948775 is a wasteful number, since it uses less digits than its factorization.

73688948775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 73688948775 in words is "seventy-three billion, six hundred eighty-eight million, nine hundred forty-eight thousand, seven hundred seventy-five".