84635416320 has 864 divisors, whose sum is σ = 345875410944. Its totient is φ = 17252352000.

The previous prime is 84635416309. The next prime is 84635416321. The reversal of 84635416320 is 2361453648.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84635416321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140824020 + ... + 140824620.

Almost surely, 2^84635416320 is an apocalyptic number.

84635416320 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 84635416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172937705472).

84635416320 is an abundant number, since it is smaller than the sum of its proper divisors (261239994624).

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

84635416320 is a wasteful number, since it uses less digits than its factorization.

84635416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 84635416320 its reverse (2361453648), we get a palindrome (86996869968).

The spelling of 84635416320 in words is "eighty-four billion, six hundred thirty-five million, four hundred sixteen thousand, three hundred twenty".