9406673377920 has 1152 divisors, whose sum is σ = 42461870855040. Its totient is φ = 1898396172288.

The previous prime is 9406673377919. The next prime is 9406673377939. The reversal of 9406673377920 is 297733766049.

9406673377920 is a `hidden beast` number, since 9 + 406 + 6 + 73 + 3 + 77 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84334027 + ... + 84445493.

It is an arithmetic number, because the mean of its divisors is an integer number (36859262895).

Almost surely, 2^{9406673377920} is an apocalyptic number.

9406673377920 is a gapful number since it is divisible by the number (90) 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 9406673377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230935427520).

9406673377920 is an abundant number, since it is smaller than the sum of its proper divisors (33055197477120).

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

9406673377920 is a wasteful number, since it uses less digits than its factorization.

9406673377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111542 (or 111520 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 9406673377920 in words is "nine trillion, four hundred six billion, six hundred seventy-three million, three hundred seventy-seven thousand, nine hundred twenty".