906544742400 has 1632 divisors, whose sum is σ = 3838262192640. Its totient is φ = 210213273600.

The previous prime is 906544742387. The next prime is 906544742461. The reversal of 906544742400 is 4247445609.

906544742400 is a `hidden beast` number, since 90 + 6 + 54 + 474 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39414988789 + ... + 39414988811.

Almost surely, 2^906544742400 is an apocalyptic number.

906544742400 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 906544742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919131096320).

906544742400 is an abundant number, since it is smaller than the sum of its proper divisors (2931717450240).

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

906544742400 is an frugal number, since it uses more digits than its factorization.

906544742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 906544742400 in words is "nine hundred six billion, five hundred forty-four million, seven hundred forty-two thousand, four hundred".