742803011664 has 320 divisors, whose sum is σ = 2321221670400. Its totient is φ = 204432076800.

The previous prime is 742803011623. The next prime is 742803011683. The reversal of 742803011664 is 466110308247.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61519932 + ... + 61532004.

It is an arithmetic number, because the mean of its divisors is an integer number (7253817720).

Almost surely, 2^742803011664 is an apocalyptic number.

742803011664 is a gapful number since it is divisible by the number (74) 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 742803011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160610835200).

742803011664 is an abundant number, since it is smaller than the sum of its proper divisors (1578418658736).

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

742803011664 is a wasteful number, since it uses less digits than its factorization.

742803011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 742803011664 in words is "seven hundred forty-two billion, eight hundred three million, eleven thousand, six hundred sixty-four".