73771997916672 has 640 divisors, whose sum is σ = 252360870727680. Its totient is φ = 21029655674880.

The previous prime is 73771997916653. The next prime is 73771997916679. The reversal of 73771997916672 is 27661979917737.

73771997916672 is a `hidden beast` number, since 7 + 377 + 1 + 9 + 97 + 91 + 6 + 6 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73771997916591 and 73771997916600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73771997916679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6248151793 + ... + 6248163599.

It is an arithmetic number, because the mean of its divisors is an integer number (394313860512).

Almost surely, 2^{73771997916672} is an apocalyptic number.

73771997916672 is a gapful number since it is divisible by the number (72) 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 73771997916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126180435363840).

73771997916672 is an abundant number, since it is smaller than the sum of its proper divisors (178588872811008).

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

73771997916672 is a wasteful number, since it uses less digits than its factorization.

73771997916672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14257 counting only the distinct ones).

The product of its digits is 2646497448, while the sum is 81.

The spelling of 73771997916672 in words is "seventy-three trillion, seven hundred seventy-one billion, nine hundred ninety-seven million, nine hundred sixteen thousand, six hundred seventy-two".