743813612640 has 768 divisors, whose sum is σ = 3156637962240. Its totient is φ = 159690424320.

The previous prime is 743813612639. The next prime is 743813612687. The reversal of 743813612640 is 46216318347.

743813612640 is a `hidden beast` number, since 7 + 4 + 381 + 3 + 6 + 1 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 324383334 + ... + 324385626.

It is an arithmetic number, because the mean of its divisors is an integer number (4110205680).

Almost surely, 2^743813612640 is an apocalyptic number.

743813612640 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 743813612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578318981120).

743813612640 is an abundant number, since it is smaller than the sum of its proper divisors (2412824349600).

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

743813612640 is a wasteful number, since it uses less digits than its factorization.

743813612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 743813612640 in words is "seven hundred forty-three billion, eight hundred thirteen million, six hundred twelve thousand, six hundred forty".