906378854400 has 900 divisors, whose sum is σ = 3557478588048. Its totient is φ = 227341762560.

The previous prime is 906378854393. The next prime is 906378854413. The reversal of 906378854400 is 4458873609.

906378854400 is a `hidden beast` number, since 90 + 6 + 3 + 7 + 8 + 8 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 59 ways as a sum of consecutive naturals, for example, 564018397 + ... + 564020003.

Almost surely, 2^906378854400 is an apocalyptic number.

906378854400 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 906378854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778739294024).

906378854400 is an abundant number, since it is smaller than the sum of its proper divisors (2651099733648).

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

906378854400 is a wasteful number, since it uses less digits than its factorization.

906378854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 906378854400 in words is "nine hundred six billion, three hundred seventy-eight million, eight hundred fifty-four thousand, four hundred".