1364967948960 has 960 divisors, whose sum is σ = 6199736868864. Its totient is φ = 274474137600.

The previous prime is 1364967948959. The next prime is 1364967949001. The reversal of 1364967948960 is 698497694631.

1364967948960 is a `hidden beast` number, since 1 + 3 + 6 + 496 + 7 + 9 + 48 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30913459 + ... + 30957581.

Almost surely, 2^{1364967948960} is an apocalyptic number.

1364967948960 is a gapful number since it is divisible by the number (10) 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 1364967948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099868434432).

1364967948960 is an abundant number, since it is smaller than the sum of its proper divisors (4834768919904).

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

1364967948960 is a wasteful number, since it uses less digits than its factorization.

1364967948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44199 (or 44182 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 1364967948960 in words is "one trillion, three hundred sixty-four billion, nine hundred sixty-seven million, nine hundred forty-eight thousand, nine hundred sixty".