742611013200 has 630 divisors, whose sum is σ = 3111748919214. Its totient is φ = 169736394240.

The previous prime is 742611013187. The next prime is 742611013219. The reversal of 742611013200 is 2310116247.

742611013200 is a `hidden beast` number, since 7 + 42 + 611 + 0 + 1 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11524451904 + 731086561296 = 107352^2 + 855036^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a super-2 number, since 2×742611013200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14262414 + ... + 14314386.

Almost surely, 2^742611013200 is an apocalyptic number.

742611013200 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 742611013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555874459607).

742611013200 is an abundant number, since it is smaller than the sum of its proper divisors (2369137906014).

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

742611013200 is a wasteful number, since it uses less digits than its factorization.

742611013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52023 (or 51990 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 742611013200 its reverse (2310116247), we get a palindrome (744921129447).

The spelling of 742611013200 in words is "seven hundred forty-two billion, six hundred eleven million, thirteen thousand, two hundred".