742468446720 has 3200 divisors, whose sum is σ = 3693288614400. Its totient is φ = 140460687360.

The previous prime is 742468446703. The next prime is 742468446737. The reversal of 742468446720 is 27644864247.

742468446720 is a `hidden beast` number, since 7 + 42 + 46 + 84 + 467 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (742468446703) and next prime (742468446737).

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

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 319 ways as a sum of consecutive naturals, for example, 10170800604 + ... + 10170800676.

It is an arithmetic number, because the mean of its divisors is an integer number (1154152692).

Almost surely, 2^742468446720 is an apocalyptic number.

742468446720 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 742468446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846644307200).

742468446720 is an abundant number, since it is smaller than the sum of its proper divisors (2950820167680).

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

742468446720 is a wasteful number, since it uses less digits than its factorization.

742468446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 742468446720 in words is "seven hundred forty-two billion, four hundred sixty-eight million, four hundred forty-six thousand, seven hundred twenty".