84046277792000 has 144 divisors (see below), whose sum is σ = 209380578825600. Its totient is φ = 33616777779200.

The previous prime is 84046277791997. The next prime is 84046277792003. The reversal of 84046277792000 is 29777264048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84046277791997) and next prime (84046277792003).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84046277792003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750632021 + ... + 750743979.

It is an arithmetic number, because the mean of its divisors is an integer number (1454031797400).

Almost surely, 2^{84046277792000} is an apocalyptic number.

84046277792000 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 84046277792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104690289412800).

84046277792000 is an abundant number, since it is smaller than the sum of its proper divisors (125334301033600).

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

84046277792000 is a wasteful number, since it uses less digits than its factorization.

84046277792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135449 (or 135425 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 84046277792000 in words is "eighty-four trillion, forty-six billion, two hundred seventy-seven million, seven hundred ninety-two thousand".