48819731732640 has 480 divisors, whose sum is σ = 188910167048064. Its totient is φ = 11775003125760.

The previous prime is 48819731732617. The next prime is 48819731732641. The reversal of 48819731732640 is 4623713791884.

48819731732640 is a `hidden beast` number, since 4 + 88 + 197 + 3 + 1 + 7 + 326 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (48819731732641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27215157 + ... + 28953483.

Almost surely, 2^{48819731732640} is an apocalyptic number.

48819731732640 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 48819731732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94455083524032).

48819731732640 is an abundant number, since it is smaller than the sum of its proper divisors (140090435315424).

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

48819731732640 is a wasteful number, since it uses less digits than its factorization.

48819731732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738562 (or 1738545 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 48819731732640 in words is "forty-eight trillion, eight hundred nineteen billion, seven hundred thirty-one million, seven hundred thirty-two thousand, six hundred forty".