836972421120 has 896 divisors, whose sum is σ = 3281674798080. Its totient is φ = 200693514240.

The previous prime is 836972421119. The next prime is 836972421149. The reversal of 836972421120 is 21124279638.

836972421120 is a `hidden beast` number, since 8 + 36 + 9 + 72 + 421 + 120 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1301667519 + ... + 1301668161.

It is an arithmetic number, because the mean of its divisors is an integer number (3662583480).

Almost surely, 2^836972421120 is an apocalyptic number.

836972421120 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 836972421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640837399040).

836972421120 is an abundant number, since it is smaller than the sum of its proper divisors (2444702376960).

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

836972421120 is a wasteful number, since it uses less digits than its factorization.

836972421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 836972421120 in words is "eight hundred thirty-six billion, nine hundred seventy-two million, four hundred twenty-one thousand, one hundred twenty".