749754327001680 has 10800 divisors, whose sum is σ = 3951021175960320. Its totient is φ = 130089170534400.

The previous prime is 749754327001627. The next prime is 749754327001681. The reversal of 749754327001680 is 86100723457947.

749754327001680 is a `hidden beast` number, since 7 + 4 + 9 + 7 + 543 + 2 + 7 + 0 + 0 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749754327001681) by changing a digit.

It is a polite number, since it can be written in 2159 ways as a sum of consecutive naturals, for example, 15952219723417 + ... + 15952219723463.

It is a 1-persistent number, because it is pandigital, but 2⋅749754327001680 = 1499508654003360 is not.

Almost surely, 2^{749754327001680} is an apocalyptic number.

749754327001680 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 749754327001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975510587980160).

749754327001680 is an abundant number, since it is smaller than the sum of its proper divisors (3201266848958640).

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

749754327001680 is a wasteful number, since it uses less digits than its factorization.

749754327001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 749754327001680 in words is "seven hundred forty-nine trillion, seven hundred fifty-four billion, three hundred twenty-seven million, one thousand, six hundred eighty".