8416309496320 has 640 divisors, whose sum is σ = 23858943787008. Its totient is φ = 2815441305600.

The previous prime is 8416309496279. The next prime is 8416309496347. The reversal of 8416309496320 is 236949036148.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 3473506629 + ... + 3473509051.

Almost surely, 2^{8416309496320} is an apocalyptic number.

8416309496320 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 8416309496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929471893504).

8416309496320 is an abundant number, since it is smaller than the sum of its proper divisors (15442634290688).

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

8416309496320 is a wasteful number, since it uses less digits than its factorization.

8416309496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 8416309496320 in words is "eight trillion, four hundred sixteen billion, three hundred nine million, four hundred ninety-six thousand, three hundred twenty".