47760961248 has 432 divisors, whose sum is σ = 183753749088. Its totient is φ = 11450419200.

The previous prime is 47760961231. The next prime is 47760961277. The reversal of 47760961248 is 84216906774.

47760961248 is a `hidden beast` number, since 4 + 7 + 7 + 609 + 6 + 1 + 24 + 8 = 666.

It is a super-2 number, since 2×47760961248² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47760961194 and 47760961203.

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 71 ways as a sum of consecutive naturals, for example, 3163638 + ... + 3178698.

Almost surely, 2^47760961248 is an apocalyptic number.

47760961248 is a gapful number since it is divisible by the number (48) 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 47760961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91876874544).

47760961248 is an abundant number, since it is smaller than the sum of its proper divisors (135992787840).

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

47760961248 is a wasteful number, since it uses less digits than its factorization.

47760961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15119 (or 15097 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47760961248 in words is "forty-seven billion, seven hundred sixty million, nine hundred sixty-one thousand, two hundred forty-eight".