742493112506280 has 384 divisors, whose sum is σ = 2520218610000000. Its totient is φ = 196595414129664.

The previous prime is 742493112506273. The next prime is 742493112506287. The reversal of 742493112506280 is 82605211394247.

It is a happy number.

742493112506280 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 9 + 3 + 1 + 1 + 2 + 5 + 0 + 628 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (742493112506273) and next prime (742493112506287).

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

It is not an unprimeable number, because it can be changed into a prime (742493112506287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3908812746 + ... + 3909002694.

It is an arithmetic number, because the mean of its divisors is an integer number (6563069296875).

It is a 1-persistent number, because it is pandigital, but 2⋅742493112506280 = 1484986225012560 is not.

Almost surely, 2^{742493112506280} 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 742493112506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260109305000000).

742493112506280 is an abundant number, since it is smaller than the sum of its proper divisors (1777725497493720).

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

742493112506280 is a wasteful number, since it uses less digits than its factorization.

742493112506280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192823 (or 192807 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 742493112506280 in words is "seven hundred forty-two trillion, four hundred ninety-three billion, one hundred twelve million, five hundred six thousand, two hundred eighty".