748683264000 has 800 divisors, whose sum is σ = 3015066951936. Its totient is φ = 161061273600.

The previous prime is 748683263963. The next prime is 748683264011. The reversal of 748683264000 is 462386847.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44040191992 + ... + 44040192008.

Almost surely, 2^748683264000 is an apocalyptic number.

748683264000 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 748683264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507533475968).

748683264000 is an abundant number, since it is smaller than the sum of its proper divisors (2266383687936).

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

748683264000 is an frugal number, since it uses more digits than its factorization.

748683264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 748683264000 in words is "seven hundred forty-eight billion, six hundred eighty-three million, two hundred sixty-four thousand".