1364882460480 has 896 divisors, whose sum is σ = 6049330974720. Its totient is φ = 281428992000.

The previous prime is 1364882460457. The next prime is 1364882460521. The reversal of 1364882460480 is 840642884631.

It is a happy number.

1364882460480 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 8 + 8 + 24 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87143850 + ... + 87159510.

Almost surely, 2^{1364882460480} is an apocalyptic number.

1364882460480 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 1364882460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024665487360).

1364882460480 is an abundant number, since it is smaller than the sum of its proper divisors (4684448514240).

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

1364882460480 is a wasteful number, since it uses less digits than its factorization.

1364882460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1364882460480 in words is "one trillion, three hundred sixty-four billion, eight hundred eighty-two million, four hundred sixty thousand, four hundred eighty".