84330086400 has 1224 divisors, whose sum is σ = 371864155520. Its totient is φ = 17836277760.

The previous prime is 84330086387. The next prime is 84330086453. The reversal of 84330086400 is 468003348.

84330086400 is a `hidden beast` number, since 8 + 4 + 3 + 3 + 0 + 0 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×84330086400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1961164779 + ... + 1961164821.

Almost surely, 2^84330086400 is an apocalyptic number.

84330086400 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 84330086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185932077760).

84330086400 is an abundant number, since it is smaller than the sum of its proper divisors (287534069120).

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

84330086400 is a wasteful number, since it uses less digits than its factorization.

84330086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 84330086400 its reverse (468003348), we get a palindrome (84798089748).

The spelling of 84330086400 in words is "eighty-four billion, three hundred thirty million, eighty-six thousand, four hundred".