48007507680 has 1344 divisors, whose sum is σ = 205611872256. Its totient is φ = 10450944000.

The previous prime is 48007507637. The next prime is 48007507699. The reversal of 48007507680 is 8670570084.

48007507680 is a `hidden beast` number, since 4 + 80 + 0 + 7 + 507 + 68 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 676162045 + ... + 676162115.

It is an arithmetic number, because the mean of its divisors is an integer number (152985024).

Almost surely, 2^48007507680 is an apocalyptic number.

48007507680 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 48007507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102805936128).

48007507680 is an abundant number, since it is smaller than the sum of its proper divisors (157604364576).

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

48007507680 is a wasteful number, since it uses less digits than its factorization.

48007507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 48007507680 in words is "forty-eight billion, seven million, five hundred seven thousand, six hundred eighty".