2462378897664 has 576 divisors, whose sum is σ = 8627576832000. Its totient is φ = 677894676480.

The previous prime is 2462378897639. The next prime is 2462378897683. The reversal of 2462378897664 is 4667988732642.

It is a happy number.

2462378897664 is a `hidden beast` number, since 2 + 462 + 3 + 78 + 8 + 97 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2462378897592 and 2462378897601.

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, 358473622 + ... + 358480490.

It is an arithmetic number, because the mean of its divisors is an integer number (14978432000).

Almost surely, 2^{2462378897664} is an apocalyptic number.

2462378897664 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 2462378897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313788416000).

2462378897664 is an abundant number, since it is smaller than the sum of its proper divisors (6165197934336).

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

2462378897664 is a wasteful number, since it uses less digits than its factorization.

2462378897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7151 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 2462378897664 in words is "two trillion, four hundred sixty-two billion, three hundred seventy-eight million, eight hundred ninety-seven thousand, six hundred sixty-four".