10062074880 has 704 divisors, whose sum is σ = 42092870400. Its totient is φ = 2247229440.

The previous prime is 10062074873. The next prime is 10062074887. The reversal of 10062074880 is 8847026001.

It is an interprime number because it is at equal distance from previous prime (10062074873) and next prime (10062074887).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062074887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19768066 + ... + 19768574.

Almost surely, 2^10062074880 is an apocalyptic number.

10062074880 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 10062074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046435200).

10062074880 is an abundant number, since it is smaller than the sum of its proper divisors (32030795520).

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

10062074880 is a wasteful number, since it uses less digits than its factorization.

10062074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10062074880 in words is "ten billion, sixty-two million, seventy-four thousand, eight hundred eighty".