2025463697664 has 576 divisors, whose sum is σ = 6317392435200. Its totient is φ = 569327616000.

The previous prime is 2025463697639. The next prime is 2025463697683. The reversal of 2025463697664 is 4667963645202.

It is a junction number, because it is equal to n+sod(n) for n = 2025463697598 and 2025463697607.

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, 3743925234 + ... + 3743925774.

It is an arithmetic number, because the mean of its divisors is an integer number (10967695200).

Almost surely, 2^{2025463697664} is an apocalyptic number.

2025463697664 is a gapful number since it is divisible by the number (24) 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 2025463697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158696217600).

2025463697664 is an abundant number, since it is smaller than the sum of its proper divisors (4291928737536).

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

2025463697664 is a wasteful number, since it uses less digits than its factorization.

2025463697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 60.

The spelling of 2025463697664 in words is "two trillion, twenty-five billion, four hundred sixty-three million, six hundred ninety-seven thousand, six hundred sixty-four".