84379699200 has 576 divisors, whose sum is σ = 304058664000. Its totient is φ = 20561264640.

The previous prime is 84379699199. The next prime is 84379699213. The reversal of 84379699200 is 299697348.

It is a super-3 number, since 3×84379699200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84633102 + ... + 84634098.

It is an arithmetic number, because the mean of its divisors is an integer number (527879625).

Almost surely, 2^84379699200 is an apocalyptic number.

84379699200 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 84379699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152029332000).

84379699200 is an abundant number, since it is smaller than the sum of its proper divisors (219678964800).

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

84379699200 is a wasteful number, since it uses less digits than its factorization.

84379699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 84379699200 in words is "eighty-four billion, three hundred seventy-nine million, six hundred ninety-nine thousand, two hundred".