6425319400416 has 768 divisors, whose sum is σ = 22007946240000. Its totient is φ = 1786131357696.

The previous prime is 6425319400399. The next prime is 6425319400421. The reversal of 6425319400416 is 6140049135246.

6425319400416 is a `hidden beast` number, since 6 + 42 + 5 + 3 + 194 + 0 + 0 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12876391335 + ... + 12876391833.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180000).

Almost surely, 2^{6425319400416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425319400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003973120000).

6425319400416 is an abundant number, since it is smaller than the sum of its proper divisors (15582626839584).

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

6425319400416 is a wasteful number, since it uses less digits than its factorization.

6425319400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6425319400416 in words is "six trillion, four hundred twenty-five billion, three hundred nineteen million, four hundred thousand, four hundred sixteen".