8240462968320 has 2240 divisors, whose sum is σ = 34997571797760. Its totient is φ = 1838171750400.

The previous prime is 8240462968247. The next prime is 8240462968327. The reversal of 8240462968320 is 238692640428.

8240462968320 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 4 + 629 + 6 + 8 + 3 + 2 + 0 = 666.

It is a super-4 number, since 4×8240462968320⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240462968327) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14431633635 + ... + 14431634205.

Almost surely, 2^{8240462968320} is an apocalyptic number.

8240462968320 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 8240462968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498785898880).

8240462968320 is an abundant number, since it is smaller than the sum of its proper divisors (26757108829440).

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

8240462968320 is a wasteful number, since it uses less digits than its factorization.

8240462968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 8240462968320 in words is "eight trillion, two hundred forty billion, four hundred sixty-two million, nine hundred sixty-eight thousand, three hundred twenty".