2435966878464 has 432 divisors, whose sum is σ = 8268461108544. Its totient is φ = 675230515200.

The previous prime is 2435966878439. The next prime is 2435966878483. The reversal of 2435966878464 is 4648786695342.

2435966878464 is a `hidden beast` number, since 2 + 4 + 3 + 5 + 96 + 6 + 8 + 78 + 464 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2435966878392 and 2435966878401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119675712 + ... + 119696064.

Almost surely, 2^{2435966878464} is an apocalyptic number.

2435966878464 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 2435966878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134230554272).

2435966878464 is an abundant number, since it is smaller than the sum of its proper divisors (5832494230080).

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

2435966878464 is a wasteful number, since it uses less digits than its factorization.

2435966878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604 (or 20587 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 2435966878464 in words is "two trillion, four hundred thirty-five billion, nine hundred sixty-six million, eight hundred seventy-eight thousand, four hundred sixty-four".