748261463040 has 1232 divisors, whose sum is σ = 3313743339648. Its totient is φ = 157803282432.

The previous prime is 748261463011. The next prime is 748261463051. The reversal of 748261463040 is 40364162847.

748261463040 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 6 + 1 + 4 + 630 + 4 + 0 = 666.

748261463040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×748261463040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339654579 + ... + 339656781.

Almost surely, 2^748261463040 is an apocalyptic number.

748261463040 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 748261463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656871669824).

748261463040 is an abundant number, since it is smaller than the sum of its proper divisors (2565481876608).

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

748261463040 is a wasteful number, since it uses less digits than its factorization.

748261463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 748261463040 in words is "seven hundred forty-eight billion, two hundred sixty-one million, four hundred sixty-three thousand, forty".