84792191616 has 384 divisors, whose sum is σ = 273034644480. Its totient is φ = 25039872000.

The previous prime is 84792191611. The next prime is 84792191657. The reversal of 84792191616 is 61619129748.

84792191616 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 2 + 19 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84792191611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128278326 + ... + 128278986.

It is an arithmetic number, because the mean of its divisors is an integer number (711027720).

Almost surely, 2^84792191616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84792191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136517322240).

84792191616 is an abundant number, since it is smaller than the sum of its proper divisors (188242452864).

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

84792191616 is a wasteful number, since it uses less digits than its factorization.

84792191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 84792191616 in words is "eighty-four billion, seven hundred ninety-two million, one hundred ninety-one thousand, six hundred sixteen".