47907796083840 has 2400 divisors, whose sum is σ = 219453103110780. Its totient is φ = 9951737241600.

The previous prime is 47907796083817. The next prime is 47907796083853. The reversal of 47907796083840 is 4838069770974.

47907796083840 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 7 + 7 + 9 + 608 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43014604336704 + 4893191747136 = 6558552^2 + 2212056^2 .

It is a super-2 number, since 2×47907796083840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 15060607050 + ... + 15060610230.

Almost surely, 2^{47907796083840} is an apocalyptic number.

47907796083840 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 47907796083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109726551555390).

47907796083840 is an abundant number, since it is smaller than the sum of its proper divisors (171545307026940).

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

47907796083840 is an equidigital number, since it uses as much as digits as its factorization.

47907796083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 47907796083840 in words is "forty-seven trillion, nine hundred seven billion, seven hundred ninety-six million, eighty-three thousand, eight hundred forty".