906780672000 has 1224 divisors, whose sum is σ = 3818123395632. Its totient is φ = 206438400000.

The previous prime is 906780671987. The next prime is 906780672029. The reversal of 906780672000 is 276087609.

It is a happy number.

It is a super-2 number, since 2×906780672000² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3612671875 + ... + 3612672125.

Almost surely, 2^906780672000 is an apocalyptic number.

906780672000 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 906780672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909061697816).

906780672000 is an abundant number, since it is smaller than the sum of its proper divisors (2911342723632).

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

906780672000 is an equidigital number, since it uses as much as digits as its factorization.

906780672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 906780672000 in words is "nine hundred six billion, seven hundred eighty million, six hundred seventy-two thousand".