926761343040 has 672 divisors, whose sum is σ = 3656997227520. Its totient is φ = 213396553728.

The previous prime is 926761343033. The next prime is 926761343069. The reversal of 926761343040 is 40343167629.

926761343040 is a `hidden beast` number, since 9 + 26 + 7 + 613 + 4 + 3 + 0 + 4 + 0 = 666.

926761343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 106287801 + ... + 106296519.

It is an arithmetic number, because the mean of its divisors is an integer number (5441960160).

Almost surely, 2^926761343040 is an apocalyptic number.

926761343040 is a gapful number since it is divisible by the number (90) 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 926761343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828498613760).

926761343040 is an abundant number, since it is smaller than the sum of its proper divisors (2730235884480).

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

926761343040 is a wasteful number, since it uses less digits than its factorization.

926761343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8939 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 926761343040 in words is "nine hundred twenty-six billion, seven hundred sixty-one million, three hundred forty-three thousand, forty".