900649290240 has 1600 divisors, whose sum is σ = 3834623675520. Its totient is φ = 202790117376.

The previous prime is 900649290217. The next prime is 900649290311. The reversal of 900649290240 is 42092946009.

It is a happy number.

It is a super-2 number, since 2×900649290240² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13442526687 + ... + 13442526753.

Almost surely, 2^900649290240 is an apocalyptic number.

900649290240 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 900649290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917311837760).

900649290240 is an abundant number, since it is smaller than the sum of its proper divisors (2933974385280).

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

900649290240 is an frugal number, since it uses more digits than its factorization.

900649290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 900649290240 in words is "nine hundred billion, six hundred forty-nine million, two hundred ninety thousand, two hundred forty".