46738425600 has 648 divisors, whose sum is σ = 177758070672. Its totient is φ = 12143001600.

The previous prime is 46738425553. The next prime is 46738425647. The reversal of 46738425600 is 652483764.

46738425600 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 84 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46738425553) and next prime (46738425647).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63762834 + ... + 63763566.

Almost surely, 2^46738425600 is an apocalyptic number.

46738425600 is a gapful number since it is divisible by the number (40) 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 46738425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88879035336).

46738425600 is an abundant number, since it is smaller than the sum of its proper divisors (131019645072).

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

46738425600 is an equidigital number, since it uses as much as digits as its factorization.

46738425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46738425600 in words is "forty-six billion, seven hundred thirty-eight million, four hundred twenty-five thousand, six hundred".