1359719000640 has 3024 divisors, whose sum is σ = 6606474016896. Its totient is φ = 253609574400.

The previous prime is 1359719000609. The next prime is 1359719000671. The reversal of 1359719000640 is 460009179531.

1359719000640 is a `hidden beast` number, since 1 + 3 + 597 + 19 + 0 + 0 + 0 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1359719000609) and next prime (1359719000671).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 18626287644 + ... + 18626287716.

Almost surely, 2^{1359719000640} is an apocalyptic number.

1359719000640 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 1359719000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303237008448).

1359719000640 is an abundant number, since it is smaller than the sum of its proper divisors (5246755016256).

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

1359719000640 is a wasteful number, since it uses less digits than its factorization.

1359719000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1359719000640 in words is "one trillion, three hundred fifty-nine billion, seven hundred nineteen million, six hundred forty", and thus it is an aban number.