47967978240 has 432 divisors, whose sum is σ = 204268104768. Its totient is φ = 10120495104.

The previous prime is 47967978199. The next prime is 47967978251. The reversal of 47967978240 is 4287976974.

47967978240 is a `hidden beast` number, since 479 + 6 + 79 + 78 + 24 + 0 = 666.

It is a super-2 number, since 2×47967978240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025442 + ... + 1071198.

Almost surely, 2^47967978240 is an apocalyptic number.

47967978240 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 47967978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102134052384).

47967978240 is an abundant number, since it is smaller than the sum of its proper divisors (156300126528).

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

47967978240 is a wasteful number, since it uses less digits than its factorization.

47967978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45804 (or 45787 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 47967978240 in words is "forty-seven billion, nine hundred sixty-seven million, nine hundred seventy-eight thousand, two hundred forty".