10356478968 has 128 divisors (see below), whose sum is σ = 28993386240. Its totient is φ = 3055488000.

The previous prime is 10356478963. The next prime is 10356478981. The reversal of 10356478968 is 86987465301.

It is a super-3 number, since 3×10356478968³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10356478963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9492103 + ... + 9493193.

It is an arithmetic number, because the mean of its divisors is an integer number (226510830).

Almost surely, 2^10356478968 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 10356478968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496693120).

10356478968 is an abundant number, since it is smaller than the sum of its proper divisors (18636907272).

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

10356478968 is a wasteful number, since it uses less digits than its factorization.

10356478968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 10356478968 in words is "ten billion, three hundred fifty-six million, four hundred seventy-eight thousand, nine hundred sixty-eight".