1364573675520 has 896 divisors, whose sum is σ = 5523812858880. Its totient is φ = 316358000640.

The previous prime is 1364573675503. The next prime is 1364573675557. The reversal of 1364573675520 is 255763754631.

1364573675520 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 57 + 3 + 67 + 5 + 520 = 666.

It is a super-2 number, since 2×1364573675520² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 279795322 + ... + 279800198.

Almost surely, 2^{1364573675520} is an apocalyptic number.

1364573675520 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 1364573675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761906429440).

1364573675520 is an abundant number, since it is smaller than the sum of its proper divisors (4159239183360).

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

1364573675520 is a wasteful number, since it uses less digits than its factorization.

1364573675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 1364573675520 in words is "one trillion, three hundred sixty-four billion, five hundred seventy-three million, six hundred seventy-five thousand, five hundred twenty".