742041300672 has 336 divisors, whose sum is σ = 2523886077440. Its totient is φ = 211752548352.

The previous prime is 742041300617. The next prime is 742041300691. The reversal of 742041300672 is 276003140247.

It is a tau number, because it is divible by the number of its divisors (336).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100042308 + ... + 100049724.

Almost surely, 2^742041300672 is an apocalyptic number.

742041300672 is a gapful number since it is divisible by the number (72) 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 742041300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261943038720).

742041300672 is an abundant number, since it is smaller than the sum of its proper divisors (1781844776768).

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

742041300672 is an equidigital number, since it uses as much as digits as its factorization.

742041300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 742041300672 in words is "seven hundred forty-two billion, forty-one million, three hundred thousand, six hundred seventy-two".