73688880507060 has 384 divisors, whose sum is σ = 255799540039680. Its totient is φ = 15526016782848.

The previous prime is 73688880507043. The next prime is 73688880507083. The reversal of 73688880507060 is 6070508888637.

It is a super-2 number, since 2×73688880507060² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73688880506982 and 73688880507000.

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, 670777057 + ... + 670886903.

It is an arithmetic number, because the mean of its divisors is an integer number (666144635520).

Almost surely, 2^{73688880507060} is an apocalyptic number.

73688880507060 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 73688880507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127899770019840).

73688880507060 is an abundant number, since it is smaller than the sum of its proper divisors (182110659532620).

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

73688880507060 is a wasteful number, since it uses less digits than its factorization.

73688880507060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110632 (or 110604 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 73688880507060 in words is "seventy-three trillion, six hundred eighty-eight billion, eight hundred eighty million, five hundred seven thousand, sixty".