747825513600 has 384 divisors, whose sum is σ = 2689950332160. Its totient is φ = 181096960000.

The previous prime is 747825513571. The next prime is 747825513637. The reversal of 747825513600 is 6315528747.

747825513600 is digitally balanced in base 2, because in such base 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 (384).

It is a super-2 number, since 2×747825513600² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 747825513600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115206355 + ... + 115212845.

It is an arithmetic number, because the mean of its divisors is an integer number (7005078990).

Almost surely, 2^747825513600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747825513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344975166080).

747825513600 is an abundant number, since it is smaller than the sum of its proper divisors (1942124818560).

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

747825513600 is a wasteful number, since it uses less digits than its factorization.

747825513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 747825513600 in words is "seven hundred forty-seven billion, eight hundred twenty-five million, five hundred thirteen thousand, six hundred".