742243037760 has 896 divisors, whose sum is σ = 3182989824000. Its totient is φ = 159045451776.

The previous prime is 742243037749. The next prime is 742243037801. The reversal of 742243037760 is 67730342247.

742243037760 is a `hidden beast` number, since 74 + 22 + 430 + 3 + 77 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 111461311 + ... + 111467969.

It is an arithmetic number, because the mean of its divisors is an integer number (3552444000).

Almost surely, 2^742243037760 is an apocalyptic number.

742243037760 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 742243037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591494912000).

742243037760 is an abundant number, since it is smaller than the sum of its proper divisors (2440746786240).

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

742243037760 is a wasteful number, since it uses less digits than its factorization.

742243037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 742243037760 in words is "seven hundred forty-two billion, two hundred forty-three million, thirty-seven thousand, seven hundred sixty".