906188990400 has 588 divisors, whose sum is σ = 3357276183072. Its totient is φ = 240630497280.

The previous prime is 906188990347. The next prime is 906188990479. The reversal of 906188990400 is 4099881609.

906188990400 is a `hidden beast` number, since 90 + 61 + 8 + 8 + 9 + 90 + 400 = 666.

906188990400 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 299763289 + ... + 299766311.

Almost surely, 2^906188990400 is an apocalyptic number.

906188990400 is a gapful number since it is divisible by the number (90) 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 906188990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678638091536).

906188990400 is an abundant number, since it is smaller than the sum of its proper divisors (2451087192672).

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

906188990400 is a wasteful number, since it uses less digits than its factorization.

906188990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 906188990400 in words is "nine hundred six billion, one hundred eighty-eight million, nine hundred ninety thousand, four hundred".