742036680 has 256 divisors, whose sum is σ = 3084134400. Its totient is φ = 154172160.

The previous prime is 742036667. The next prime is 742036693. The reversal of 742036680 is 86630247.

It is an interprime number because it is at equal distance from previous prime (742036667) and next prime (742036693).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78699 + ... + 87621.

It is an arithmetic number, because the mean of its divisors is an integer number (12047400).

Almost surely, 2^742036680 is an apocalyptic number.

742036680 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 742036680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542067200).

742036680 is an abundant number, since it is smaller than the sum of its proper divisors (2342097720).

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

742036680 is a wasteful number, since it uses less digits than its factorization.

742036680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8951 counting only the distinct ones).

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

The square root of 742036680 is about 27240.3502180130. The cubic root of 742036680 is about 905.3332228346. Note that the first 3 decimals are identical.

It can be divided in two parts, 7420 and 36680, that added together give a square (44100 = 210²).

The spelling of 742036680 in words is "seven hundred forty-two million, thirty-six thousand, six hundred eighty".