47268990720 has 864 divisors, whose sum is σ = 197746698240. Its totient is φ = 10659962880.

The previous prime is 47268990719. The next prime is 47268990721. The reversal of 47268990720 is 2709986274.

47268990720 is a `hidden beast` number, since 472 + 6 + 89 + 90 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47268990719) and next prime (47268990721).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×47268990720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47268990721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174424185 + ... + 174424455.

Almost surely, 2^47268990720 is an apocalyptic number.

47268990720 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 47268990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98873349120).

47268990720 is an abundant number, since it is smaller than the sum of its proper divisors (150477707520).

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

47268990720 is a wasteful number, since it uses less digits than its factorization.

47268990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 47268990720 in words is "forty-seven billion, two hundred sixty-eight million, nine hundred ninety thousand, seven hundred twenty".