847679078400 has 2160 divisors, whose sum is σ = 3831933407232. Its totient is φ = 160432128000.

The previous prime is 847679078359. The next prime is 847679078419. The reversal of 847679078400 is 4870976748.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27344486385 + ... + 27344486415.

Almost surely, 2^847679078400 is an apocalyptic number.

847679078400 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 847679078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915966703616).

847679078400 is an abundant number, since it is smaller than the sum of its proper divisors (2984254328832).

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

847679078400 is a wasteful number, since it uses less digits than its factorization.

847679078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 847679078400 in words is "eight hundred forty-seven billion, six hundred seventy-nine million, seventy-eight thousand, four hundred".