8293407937920 has 1920 divisors, whose sum is σ = 37130928721920. Its totient is φ = 1725898752000.

The previous prime is 8293407937909. The next prime is 8293407937963. The reversal of 8293407937920 is 297397043928.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3251040645 + ... + 3251043195.

It is an arithmetic number, because the mean of its divisors is an integer number (19339025376).

Almost surely, 2^{8293407937920} is an apocalyptic number.

8293407937920 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 8293407937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565464360960).

8293407937920 is an abundant number, since it is smaller than the sum of its proper divisors (28837520784000).

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

8293407937920 is a wasteful number, since it uses less digits than its factorization.

8293407937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 8293407937920 in words is "eight trillion, two hundred ninety-three billion, four hundred seven million, nine hundred thirty-seven thousand, nine hundred twenty".