48630758400 has 1584 divisors, whose sum is σ = 224587014400. Its totient is φ = 10072719360.

The previous prime is 48630758347. The next prime is 48630758401. The reversal of 48630758400 is 485703684.

48630758400 is a `hidden beast` number, since 4 + 8 + 63 + 0 + 7 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48630758401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2114380789 + ... + 2114380811.

Almost surely, 2^48630758400 is an apocalyptic number.

48630758400 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 48630758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112293507200).

48630758400 is an abundant number, since it is smaller than the sum of its proper divisors (175956256000).

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

48630758400 is a wasteful number, since it uses less digits than its factorization.

48630758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48630758400 in words is "forty-eight billion, six hundred thirty million, seven hundred fifty-eight thousand, four hundred".