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740625940320 = 253572310789567
BaseRepresentation
bin10101100011100001011…
…11101111111101100000
32121210200111100222221020
422301300233233331200
544113300220042240
61324123332125440
7104336254423140
oct12616057577540
92553614328836
10740625940320
11266109042992
12bb656166880
1354ac10cb296
1427bbca8c920
15143ea9d30d0
hexac70beff60

740625940320 has 384 divisors, whose sum is σ = 2808210456576. Its totient is φ = 160410556416.

The previous prime is 740625940303. The next prime is 740625940349. The reversal of 740625940320 is 23049526047.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224177 + ... + 8313743.

It is an arithmetic number, because the mean of its divisors is an integer number (7313048064).

Almost surely, 2740625940320 is an apocalyptic number.

740625940320 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 740625940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404105228288).

740625940320 is an abundant number, since it is smaller than the sum of its proper divisors (2067584516256).

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

740625940320 is a wasteful number, since it uses less digits than its factorization.

740625940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89722 (or 89714 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 740625940320 in words is "seven hundred forty billion, six hundred twenty-five million, nine hundred forty thousand, three hundred twenty".