10064772480 has 1024 divisors, whose sum is σ = 42301440000. Its totient is φ = 2023096320.

The previous prime is 10064772433. The next prime is 10064772481. The reversal of 10064772480 is 8427746001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064772481) 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, 324670065 + ... + 324670095.

It is an arithmetic number, because the mean of its divisors is an integer number (41310000).

Almost surely, 2^10064772480 is an apocalyptic number.

10064772480 is a gapful number since it is divisible by the number (10) 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 10064772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720000).

10064772480 is an abundant number, since it is smaller than the sum of its proper divisors (32236667520).

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

10064772480 is a wasteful number, since it uses less digits than its factorization.

10064772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 10064772480 in words is "ten billion, sixty-four million, seven hundred seventy-two thousand, four hundred eighty".