48641636736000 has 6336 divisors, whose sum is σ = 242941654425600. Its totient is φ = 9266503680000.

The previous prime is 48641636735971. The next prime is 48641636736029. The reversal of 48641636736000 is 63763614684.

48641636736000 is a `hidden beast` number, since 4 + 8 + 64 + 163 + 67 + 360 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48641636735971) and next prime (48641636736029).

It is a tau number, because it is divible by the number of its divisors (6336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1569085055985 + ... + 1569085056015.

Almost surely, 2^{48641636736000} is an apocalyptic number.

48641636736000 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 48641636736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121470827212800).

48641636736000 is an abundant number, since it is smaller than the sum of its proper divisors (194300017689600).

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

48641636736000 is a wasteful number, since it uses less digits than its factorization.

48641636736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 48641636736000 in words is "forty-eight trillion, six hundred forty-one billion, six hundred thirty-six million, seven hundred thirty-six thousand".