748907449920 has 448 divisors, whose sum is σ = 3050556418560. Its totient is φ = 169412788224.

The previous prime is 748907449891. The next prime is 748907449973. The reversal of 748907449920 is 29944709847.

748907449920 is a `hidden beast` number, since 7 + 489 + 0 + 7 + 44 + 99 + 20 = 666.

748907449920 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 tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5802732 + ... + 5930388.

It is an arithmetic number, because the mean of its divisors is an integer number (6809277720).

Almost surely, 2^748907449920 is an apocalyptic number.

748907449920 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 748907449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525278209280).

748907449920 is an abundant number, since it is smaller than the sum of its proper divisors (2301648968640).

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

748907449920 is a wasteful number, since it uses less digits than its factorization.

748907449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127787 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 748907449920 in words is "seven hundred forty-eight billion, nine hundred seven million, four hundred forty-nine thousand, nine hundred twenty".