748819276800 has 1056 divisors, whose sum is σ = 2956702258944. Its totient is φ = 163577856000.

The previous prime is 748819276787. The next prime is 748819276813. The reversal of 748819276800 is 8672918847.

It is an interprime number because it is at equal distance from previous prime (748819276787) and next prime (748819276813).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168204480 + ... + 1168205120.

Almost surely, 2^748819276800 is an apocalyptic number.

748819276800 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 748819276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478351129472).

748819276800 is an abundant number, since it is smaller than the sum of its proper divisors (2207882982144).

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

748819276800 is a wasteful number, since it uses less digits than its factorization.

748819276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 748819276800 in words is "seven hundred forty-eight billion, eight hundred nineteen million, two hundred seventy-six thousand, eight hundred".