742001775480 has 2048 divisors, whose sum is σ = 3243276288000. Its totient is φ = 147149291520.

The previous prime is 742001775373. The next prime is 742001775491. The reversal of 742001775480 is 84577100247.

742001775480 is a `hidden beast` number, since 7 + 420 + 0 + 177 + 54 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 511 ways as a sum of consecutive naturals, for example, 7649502792 + ... + 7649502888.

It is an arithmetic number, because the mean of its divisors is an integer number (1583631000).

Almost surely, 2^742001775480 is an apocalyptic number.

742001775480 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 742001775480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144000).

742001775480 is an abundant number, since it is smaller than the sum of its proper divisors (2501274512520).

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

742001775480 is a wasteful number, since it uses less digits than its factorization.

742001775480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 742001775480 in words is "seven hundred forty-two billion, one million, seven hundred seventy-five thousand, four hundred eighty".