84896640000 has 880 divisors, whose sum is σ = 333810021600. Its totient is φ = 21307392000.

The previous prime is 84896639923. The next prime is 84896640019. The reversal of 84896640000 is 4669848.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4993919992 + ... + 4993920008.

It is an arithmetic number, because the mean of its divisors is an integer number (379329570).

Almost surely, 2^84896640000 is an apocalyptic number.

84896640000 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 84896640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166905010800).

84896640000 is an abundant number, since it is smaller than the sum of its proper divisors (248913381600).

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

84896640000 is an frugal number, since it uses more digits than its factorization.

84896640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 84896640000 in words is "eighty-four billion, eight hundred ninety-six million, six hundred forty thousand".