742621413600 has 864 divisors, whose sum is σ = 2975850783360. Its totient is φ = 179221248000.

The previous prime is 742621413509. The next prime is 742621413607. The reversal of 742621413600 is 6314126247.

742621413600 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 2 + 1 + 41 + 3 + 600 = 666.

742621413600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742621413607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575228955 + ... + 575230245.

It is an arithmetic number, because the mean of its divisors is an integer number (3444271740).

Almost surely, 2^742621413600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742621413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487925391680).

742621413600 is an abundant number, since it is smaller than the sum of its proper divisors (2233229369760).

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

742621413600 is a wasteful number, since it uses less digits than its factorization.

742621413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 742621413600 its reverse (6314126247), we get a palindrome (748935539847).

The spelling of 742621413600 in words is "seven hundred forty-two billion, six hundred twenty-one million, four hundred thirteen thousand, six hundred".