1742826477960 has 192 divisors, whose sum is σ = 5688046119600. Its totient is φ = 462797733888.

The previous prime is 1742826477941. The next prime is 1742826477967. The reversal of 1742826477960 is 697746282471.

1742826477960 is a `hidden beast` number, since 1 + 74 + 2 + 8 + 2 + 6 + 477 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 372058521156 + 1370767956804 = 609966^2 + 1170798^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1742826477967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303784212 + ... + 303789948.

Almost surely, 2^{1742826477960} is an apocalyptic number.

1742826477960 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 1742826477960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844023059800).

1742826477960 is an abundant number, since it is smaller than the sum of its proper divisors (3945219641640).

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

1742826477960 is a wasteful number, since it uses less digits than its factorization.

1742826477960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 1742826477960 in words is "one trillion, seven hundred forty-two billion, eight hundred twenty-six million, four hundred seventy-seven thousand, nine hundred sixty".