10742906880 has 300 divisors, whose sum is σ = 38537924040. Its totient is φ = 2863005696.

The previous prime is 10742906851. The next prime is 10742906897. The reversal of 10742906880 is 8860924701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6634711 + ... + 6636329.

Almost surely, 2^10742906880 is an apocalyptic number.

10742906880 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 10742906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268962020).

10742906880 is an abundant number, since it is smaller than the sum of its proper divisors (27795017160).

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

10742906880 is an frugal number, since it uses more digits than its factorization.

10742906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10742906880 in words is "ten billion, seven hundred forty-two million, nine hundred six thousand, eight hundred eighty".