740009574432 has 240 divisors, whose sum is σ = 2195698428000. Its totient is φ = 244482831360.

The previous prime is 740009574431. The next prime is 740009574481. The reversal of 740009574432 is 234475900047.

740009574432 is a `hidden beast` number, since 7 + 40 + 0 + 0 + 9 + 574 + 4 + 32 = 666.

It is a super-2 number, since 2×740009574432² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (740009574431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274177819 + ... + 274180517.

It is an arithmetic number, because the mean of its divisors is an integer number (9148743450).

Almost surely, 2^740009574432 is an apocalyptic number.

740009574432 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 740009574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097849214000).

740009574432 is an abundant number, since it is smaller than the sum of its proper divisors (1455688853568).

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

740009574432 is a wasteful number, since it uses less digits than its factorization.

740009574432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 740009574432 in words is "seven hundred forty billion, nine million, five hundred seventy-four thousand, four hundred thirty-two".