48415369766400 has 6720 divisors, whose sum is σ = 240757188553728. Its totient is φ = 9365001338880.

The previous prime is 48415369766381. The next prime is 48415369766443. The reversal of 48415369766400 is 466796351484.

48415369766400 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 536 + 97 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 722617459167 + ... + 722617459233.

Almost surely, 2^{48415369766400} is an apocalyptic number.

48415369766400 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 48415369766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120378594276864).

48415369766400 is an abundant number, since it is smaller than the sum of its proper divisors (192341818787328).

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

48415369766400 is a wasteful number, since it uses less digits than its factorization.

48415369766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 48415369766400 in words is "forty-eight trillion, four hundred fifteen billion, three hundred sixty-nine million, seven hundred sixty-six thousand, four hundred".