10736972064 has 768 divisors, whose sum is σ = 42369868800. Its totient is φ = 2563964928.

The previous prime is 10736972063. The next prime is 10736972101. The reversal of 10736972064 is 46027963701.

It is not an unprimeable number, because it can be changed into a prime (10736972063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38761494 + ... + 38761770.

It is an arithmetic number, because the mean of its divisors is an integer number (55169100).

Almost surely, 2^10736972064 is an apocalyptic number.

10736972064 is a gapful number since it is divisible by the number (14) 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 10736972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21184934400).

10736972064 is an abundant number, since it is smaller than the sum of its proper divisors (31632896736).

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

10736972064 is a wasteful number, since it uses less digits than its factorization.

10736972064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10736972064 in words is "ten billion, seven hundred thirty-six million, nine hundred seventy-two thousand, sixty-four".