743663795040 has 768 divisors, whose sum is σ = 2912678092800. Its totient is φ = 176238526464.

The previous prime is 743663795029. The next prime is 743663795051. The reversal of 743663795040 is 40597366347.

It is a happy number.

743663795040 is a `hidden beast` number, since 7 + 4 + 3 + 6 + 63 + 79 + 504 + 0 = 666.

743663795040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (743663795029) and next prime (743663795051).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133437694 + ... + 133443266.

It is an arithmetic number, because the mean of its divisors is an integer number (3792549600).

Almost surely, 2^743663795040 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 743663795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456339046400).

743663795040 is an abundant number, since it is smaller than the sum of its proper divisors (2169014297760).

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

743663795040 is a wasteful number, since it uses less digits than its factorization.

743663795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 743663795040 in words is "seven hundred forty-three billion, six hundred sixty-three million, seven hundred ninety-five thousand, forty".