1006839348480 has 1152 divisors, whose sum is σ = 4236743024640. Its totient is φ = 221635215360.

The previous prime is 1006839348457. The next prime is 1006839348497. The reversal of 1006839348480 is 848439386001.

1006839348480 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 83 + 9 + 3 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 823253149 + ... + 823254371.

It is an arithmetic number, because the mean of its divisors is an integer number (3677728320).

Almost surely, 2^{1006839348480} is an apocalyptic number.

1006839348480 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 1006839348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118371512320).

1006839348480 is an abundant number, since it is smaller than the sum of its proper divisors (3229903676160).

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

1006839348480 is a wasteful number, since it uses less digits than its factorization.

1006839348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1006839348480 in words is "one trillion, six billion, eight hundred thirty-nine million, three hundred forty-eight thousand, four hundred eighty".