754639690000 has 675 divisors, whose sum is σ = 2289079765467. Its totient is φ = 240178176000.

The previous prime is 754639689941. The next prime is 754639690003. The reversal of 754639690000 is 96936457.

The square root of 754639690000 is 868700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 749879793936 + 4759896064 = 865956^2 + 68992^2 .

It is a super-2 number, since 2×754639690000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (754639690003) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 10337529964 + ... + 10337530036.

Almost surely, 2^754639690000 is an apocalyptic number.

754639690000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

754639690000 is the 868700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 754639690000

754639690000 is an abundant number, since it is smaller than the sum of its proper divisors (1534440075467).

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

754639690000 is an equidigital number, since it uses as much as digits as its factorization.

754639690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 754639690000 by its sum of digits (49), we get a square (36977344810000 = 6080900²).

754639690000 divided by its sum of digits (49) gives a square (15400810000 = 124100²).

The spelling of 754639690000 in words is "seven hundred fifty-four billion, six hundred thirty-nine million, six hundred ninety thousand".