749638471680 has 1248 divisors, whose sum is σ = 3150926985600. Its totient is φ = 168552824832.

The previous prime is 749638471663. The next prime is 749638471693. The reversal of 749638471680 is 86174836947.

749638471680 is a `hidden beast` number, since 7 + 4 + 96 + 384 + 7 + 168 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977937731 + ... + 1977938109.

Almost surely, 2^749638471680 is an apocalyptic number.

749638471680 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 749638471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575463492800).

749638471680 is an abundant number, since it is smaller than the sum of its proper divisors (2401288513920).

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

749638471680 is a wasteful number, since it uses less digits than its factorization.

749638471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 749638471680 in words is "seven hundred forty-nine billion, six hundred thirty-eight million, four hundred seventy-one thousand, six hundred eighty".