1006634910204 has 720 divisors, whose sum is σ = 3401115734016. Its totient is φ = 256690425600.

The previous prime is 1006634910157. The next prime is 1006634910257. The reversal of 1006634910204 is 4020194366001.

1006634910204 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 634 + 9 + 10 + 2 + 0 + 4 = 666.

1006634910204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3435613882 + ... + 3435614174.

Almost surely, 2^{1006634910204} is an apocalyptic number.

1006634910204 is a gapful number since it is divisible by the number (14) 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 1006634910204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700557867008).

1006634910204 is an abundant number, since it is smaller than the sum of its proper divisors (2394480823812).

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

1006634910204 is a wasteful number, since it uses less digits than its factorization.

1006634910204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1006634910204 in words is "one trillion, six billion, six hundred thirty-four million, nine hundred ten thousand, two hundred four".