845367013920 has 288 divisors, whose sum is σ = 3145641718464. Its totient is φ = 189172838400.

The previous prime is 845367013891. The next prime is 845367013969. The reversal of 845367013920 is 29310763548.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 845367013920.

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, 418630 + ... + 1366010.

It is an arithmetic number, because the mean of its divisors is an integer number (10922367078).

It is a 1-persistent number, because it is pandigital, but 2⋅845367013920 = 1690734027840 is not.

Almost surely, 2^845367013920 is an apocalyptic number.

845367013920 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 845367013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572820859232).

845367013920 is an abundant number, since it is smaller than the sum of its proper divisors (2300274704544).

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

845367013920 is a wasteful number, since it uses less digits than its factorization.

845367013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947436 (or 947415 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 845367013920 in words is "eight hundred forty-five billion, three hundred sixty-seven million, thirteen thousand, nine hundred twenty".