740948504832 has 1152 divisors, whose sum is σ = 2558133043200. Its totient is φ = 210213273600.

The previous prime is 740948504827. The next prime is 740948504833. The reversal of 740948504832 is 238405849047.

740948504832 is a `hidden beast` number, since 7 + 40 + 94 + 8 + 504 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (740948504833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3839111328 + ... + 3839111520.

It is an arithmetic number, because the mean of its divisors is an integer number (2220601600).

Almost surely, 2^740948504832 is an apocalyptic number.

740948504832 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 740948504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279066521600).

740948504832 is an abundant number, since it is smaller than the sum of its proper divisors (1817184538368).

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

740948504832 is a wasteful number, since it uses less digits than its factorization.

740948504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 740948504832 in words is "seven hundred forty billion, nine hundred forty-eight million, five hundred four thousand, eight hundred thirty-two".