741201640704 has 432 divisors, whose sum is σ = 2638854691200. Its totient is φ = 199311114240.

The previous prime is 741201640681. The next prime is 741201640771. The reversal of 741201640704 is 407046102147.

It is a happy number.

741201640704 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 0 + 1 + 640 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13407039 + ... + 13462209.

Almost surely, 2^741201640704 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 741201640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319427345600).

741201640704 is an abundant number, since it is smaller than the sum of its proper divisors (1897653050496).

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

741201640704 is a wasteful number, since it uses less digits than its factorization.

741201640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55231 (or 55200 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 741201640704 in words is "seven hundred forty-one billion, two hundred one million, six hundred forty thousand, seven hundred four".