84674745792000 has 7680 divisors, whose sum is σ = 424717136363520. Its totient is φ = 16317805363200.

The previous prime is 84674745791969. The next prime is 84674745792001. The reversal of 84674745792000 is 29754747648.

84674745792000 is a `hidden beast` number, since 8 + 467 + 47 + 45 + 7 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84674745792001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1263802175967 + ... + 1263802176033.

It is an arithmetic number, because the mean of its divisors is an integer number (55301710464).

Almost surely, 2^{84674745792000} is an apocalyptic number.

84674745792000 is a gapful number since it is divisible by the number (80) 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 84674745792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212358568181760).

84674745792000 is an abundant number, since it is smaller than the sum of its proper divisors (340042390571520).

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

84674745792000 is a wasteful number, since it uses less digits than its factorization.

84674745792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 84674745792000 in words is "eighty-four trillion, six hundred seventy-four billion, seven hundred forty-five million, seven hundred ninety-two thousand".