84707942400 has 336 divisors, whose sum is σ = 311224574400. Its totient is φ = 22587310080.

The previous prime is 84707942359. The next prime is 84707942441. The reversal of 84707942400 is 424970748.

It is an interprime number because it is at equal distance from previous prime (84707942359) and next prime (84707942441).

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 23 ways as a sum of consecutive naturals, for example, 5521941 + ... + 5537259.

Almost surely, 2^84707942400 is an apocalyptic number.

84707942400 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 84707942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155612287200).

84707942400 is an abundant number, since it is smaller than the sum of its proper divisors (226516632000).

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

84707942400 is a wasteful number, since it uses less digits than its factorization.

84707942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15364 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 84707942400 in words is "eighty-four billion, seven hundred seven million, nine hundred forty-two thousand, four hundred".