73854776550672 has 240 divisors, whose sum is σ = 228052265470848. Its totient is φ = 22173504675840.

The previous prime is 73854776550563. The next prime is 73854776550683. The reversal of 73854776550672 is 27605567745837.

73854776550672 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 4 + 7 + 7 + 6 + 550 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73854776550672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10028203 + ... + 15756725.

Almost surely, 2^{73854776550672} is an apocalyptic number.

73854776550672 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 73854776550672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114026132735424).

73854776550672 is an abundant number, since it is smaller than the sum of its proper divisors (154197488920176).

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

73854776550672 is a wasteful number, since it uses less digits than its factorization.

73854776550672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728718 (or 5728709 counting only the distinct ones).

The product of its (nonzero) digits is 2074464000, while the sum is 72.

The spelling of 73854776550672 in words is "seventy-three trillion, eight hundred fifty-four billion, seven hundred seventy-six million, five hundred fifty thousand, six hundred seventy-two".