742892290560 has 2240 divisors, whose sum is σ = 3336168971520. Its totient is φ = 154793410560.

The previous prime is 742892290559. The next prime is 742892290577. The reversal of 742892290560 is 65092298247.

742892290560 is a `hidden beast` number, since 74 + 2 + 8 + 9 + 2 + 2 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×742892290560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 742892290497 and 742892290506.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10176606684 + ... + 10176606756.

It is an arithmetic number, because the mean of its divisors is an integer number (1489361148).

Almost surely, 2^742892290560 is an apocalyptic number.

742892290560 is a gapful number since it is divisible by the number (70) 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 742892290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668084485760).

742892290560 is an abundant number, since it is smaller than the sum of its proper divisors (2593276680960).

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

742892290560 is an equidigital number, since it uses as much as digits as its factorization.

742892290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 742892290560 in words is "seven hundred forty-two billion, eight hundred ninety-two million, two hundred ninety thousand, five hundred sixty".