747725084400 has 720 divisors, whose sum is σ = 2895485927040. Its totient is φ = 164263680000.

The previous prime is 747725084399. The next prime is 747725084423. The reversal of 747725084400 is 4480527747.

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 747725084400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 428004327 + ... + 428006073.

It is an arithmetic number, because the mean of its divisors is an integer number (4021508232).

Almost surely, 2^747725084400 is an apocalyptic number.

747725084400 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 747725084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447742963520).

747725084400 is an abundant number, since it is smaller than the sum of its proper divisors (2147760842640).

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

747725084400 is a wasteful number, since it uses less digits than its factorization.

747725084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 747725084400 in words is "seven hundred forty-seven billion, seven hundred twenty-five million, eighty-four thousand, four hundred".