748267632 has 150 divisors (see below), whose sum is σ = 2519501688. Its totient is φ = 213772608.

The previous prime is 748267607. The next prime is 748267693. The reversal of 748267632 is 236762847.

748267632 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 6 + 7 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 57613 + ... + 69395.

Almost surely, 2^748267632 is an apocalyptic number.

748267632 is a gapful number since it is divisible by the number (72) 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 748267632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259750844).

748267632 is an abundant number, since it is smaller than the sum of its proper divisors (1771234056).

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

748267632 is a wasteful number, since it uses less digits than its factorization.

748267632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11795 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 748267632 is about 27354.4810223115. The cubic root of 748267632 is about 907.8602189945.

The spelling of 748267632 in words is "seven hundred forty-eight million, two hundred sixty-seven thousand, six hundred thirty-two".