1964777278464 has 2112 divisors, whose sum is σ = 8101450874880. Its totient is φ = 456497233920.

The previous prime is 1964777278439. The next prime is 1964777278511. The reversal of 1964777278464 is 4648727774691.

1964777278464 is a `hidden beast` number, since 1 + 9 + 6 + 477 + 72 + 7 + 84 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 = 1964777278392 and 1964777278401.

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 191 ways as a sum of consecutive naturals, for example, 15470687169 + ... + 15470687295.

It is an arithmetic number, because the mean of its divisors is an integer number (3835914240).

Almost surely, 2^{1964777278464} is an apocalyptic number.

1964777278464 is a gapful number since it is divisible by the number (14) 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 1964777278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050725437440).

1964777278464 is an abundant number, since it is smaller than the sum of its proper divisors (6136673596416).

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

1964777278464 is a wasteful number, since it uses less digits than its factorization.

1964777278464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 1964777278464 in words is "one trillion, nine hundred sixty-four billion, seven hundred seventy-seven million, two hundred seventy-eight thousand, four hundred sixty-four".