742047989760 has 960 divisors, whose sum is σ = 3290079421440. Its totient is φ = 154156400640.

The previous prime is 742047989731. The next prime is 742047989779. The reversal of 742047989760 is 67989740247.

742047989760 is a `hidden beast` number, since 7 + 4 + 20 + 479 + 89 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170309502 + ... + 170313858.

It is an arithmetic number, because the mean of its divisors is an integer number (3427166064).

Almost surely, 2^742047989760 is an apocalyptic number.

742047989760 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 742047989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645039710720).

742047989760 is an abundant number, since it is smaller than the sum of its proper divisors (2548031431680).

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

742047989760 is a wasteful number, since it uses less digits than its factorization.

742047989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 742047989760 in words is "seven hundred forty-two billion, forty-seven million, nine hundred eighty-nine thousand, seven hundred sixty".