740917653120 has 384 divisors, whose sum is σ = 2809322792640. Its totient is φ = 185955139584.

The previous prime is 740917653083. The next prime is 740917653127. The reversal of 740917653120 is 21356719047.

740917653120 is a `hidden beast` number, since 7 + 4 + 0 + 91 + 7 + 6 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (740917653127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503719 + ... + 2783961.

Almost surely, 2^740917653120 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 740917653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404661396320).

740917653120 is an abundant number, since it is smaller than the sum of its proper divisors (2068405139520).

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

740917653120 is a wasteful number, since it uses less digits than its factorization.

740917653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280294 (or 280270 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 740917653120 in words is "seven hundred forty billion, nine hundred seventeen million, six hundred fifty-three thousand, one hundred twenty".