749035472640 has 1728 divisors, whose sum is σ = 3164587646976. Its totient is φ = 147519111168.

The previous prime is 749035472593. The next prime is 749035472657. The reversal of 749035472640 is 46274530947.

It is a happy number.

749035472640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749035472640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7000331467 + ... + 7000331573.

It is an arithmetic number, because the mean of its divisors is an integer number (1831358592).

Almost surely, 2^749035472640 is an apocalyptic number.

749035472640 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 749035472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582293823488).

749035472640 is an abundant number, since it is smaller than the sum of its proper divisors (2415552174336).

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

749035472640 is a wasteful number, since it uses less digits than its factorization.

749035472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 749035472640 in words is "seven hundred forty-nine billion, thirty-five million, four hundred seventy-two thousand, six hundred forty".