10270920744 has 384 divisors, whose sum is σ = 35581132800. Its totient is φ = 2685985920.

The previous prime is 10270920661. The next prime is 10270920767. The reversal of 10270920744 is 44702907201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10270920699 and 10270920708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16920489 + ... + 16921095.

It is an arithmetic number, because the mean of its divisors is an integer number (92659200).

Almost surely, 2^10270920744 is an apocalyptic number.

10270920744 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 10270920744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790566400).

10270920744 is an abundant number, since it is smaller than the sum of its proper divisors (25310212056).

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

10270920744 is a wasteful number, since it uses less digits than its factorization.

10270920744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10270920744 in words is "ten billion, two hundred seventy million, nine hundred twenty thousand, seven hundred forty-four".