900642473952 has 288 divisors, whose sum is σ = 2743354510848. Its totient is φ = 257670586368.

The previous prime is 900642473947. The next prime is 900642473999. The reversal of 900642473952 is 259374246009.

900642473952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900642473952² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 900642473895 and 900642473904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22872393 + ... + 22911735.

It is an arithmetic number, because the mean of its divisors is an integer number (9525536496).

Almost surely, 2^900642473952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900642473952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371677255424).

900642473952 is an abundant number, since it is smaller than the sum of its proper divisors (1842712036896).

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

900642473952 is a wasteful number, since it uses less digits than its factorization.

900642473952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39482 (or 39461 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 900642473952 in words is "nine hundred billion, six hundred forty-two million, four hundred seventy-three thousand, nine hundred fifty-two".