48690499680 has 480 divisors, whose sum is σ = 187840477440. Its totient is φ = 11824496640.

The previous prime is 48690499667. The next prime is 48690499723. The reversal of 48690499680 is 8699409684.

48690499680 is a `hidden beast` number, since 4 + 8 + 69 + 0 + 499 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6826356 + ... + 6833484.

It is an arithmetic number, because the mean of its divisors is an integer number (391334328).

Almost surely, 2^48690499680 is an apocalyptic number.

48690499680 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 48690499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93920238720).

48690499680 is an abundant number, since it is smaller than the sum of its proper divisors (139149977760).

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

48690499680 is a wasteful number, since it uses less digits than its factorization.

48690499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 48690499680 in words is "forty-eight billion, six hundred ninety million, four hundred ninety-nine thousand, six hundred eighty".