1782964725984 has 576 divisors, whose sum is σ = 5954497920000. Its totient is φ = 517363531776.

The previous prime is 1782964725977. The next prime is 1782964725989. The reversal of 1782964725984 is 4895274692871.

It is a happy number.

1782964725984 is a `hidden beast` number, since 1 + 7 + 8 + 29 + 6 + 4 + 7 + 2 + 598 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782964725989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663057312 + ... + 663060000.

It is an arithmetic number, because the mean of its divisors is an integer number (10337670000).

Almost surely, 2^{1782964725984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1782964725984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977248960000).

1782964725984 is an abundant number, since it is smaller than the sum of its proper divisors (4171533194016).

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

1782964725984 is a wasteful number, since it uses less digits than its factorization.

1782964725984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2965 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 1782964725984 in words is "one trillion, seven hundred eighty-two billion, nine hundred sixty-four million, seven hundred twenty-five thousand, nine hundred eighty-four".