900064189440 has 1056 divisors, whose sum is σ = 3661378176960. Its totient is φ = 208401334272.

The previous prime is 900064189411. The next prime is 900064189471. The reversal of 900064189440 is 44981460009.

900064189440 is a `hidden beast` number, since 90 + 0 + 0 + 6 + 41 + 89 + 440 = 666.

It is a super-2 number, since 2×900064189440² (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 95 ways as a sum of consecutive naturals, for example, 519366814 + ... + 519368546.

Almost surely, 2^900064189440 is an apocalyptic number.

900064189440 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 900064189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830689088480).

900064189440 is an abundant number, since it is smaller than the sum of its proper divisors (2761313987520).

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

900064189440 is a wasteful number, since it uses less digits than its factorization.

900064189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 900064189440 in words is "nine hundred billion, sixty-four million, one hundred eighty-nine thousand, four hundred forty".