1072780949682 has 256 divisors, whose sum is σ = 2774647249920. Its totient is φ = 304258166784.

The previous prime is 1072780949659. The next prime is 1072780949729. The reversal of 1072780949682 is 2869490872701.

1072780949682 is a `hidden beast` number, since 1 + 0 + 72 + 78 + 0 + 9 + 496 + 8 + 2 = 666.

It is a super-2 number, since 2×1072780949682² (a number of 25 digits) contains 22 as substring.

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, 459827788 + ... + 459830120.

It is an arithmetic number, because the mean of its divisors is an integer number (10838465820).

Almost surely, 2^{1072780949682} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072780949682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387323624960).

1072780949682 is an abundant number, since it is smaller than the sum of its proper divisors (1701866300238).

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

1072780949682 is a wasteful number, since it uses less digits than its factorization.

1072780949682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1072780949682 in words is "one trillion, seventy-two billion, seven hundred eighty million, nine hundred forty-nine thousand, six hundred eighty-two".