47526786720 has 384 divisors, whose sum is σ = 194748986880. Its totient is φ = 10598031360.

The previous prime is 47526786701. The next prime is 47526786737. The reversal of 47526786720 is 2768762574.

47526786720 is a `hidden beast` number, since 47 + 526 + 7 + 8 + 6 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1220674 + ... + 1259006.

It is an arithmetic number, because the mean of its divisors is an integer number (507158820).

Almost surely, 2^47526786720 is an apocalyptic number.

47526786720 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 47526786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97374493440).

47526786720 is an abundant number, since it is smaller than the sum of its proper divisors (147222200160).

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

47526786720 is a wasteful number, since it uses less digits than its factorization.

47526786720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38405 (or 38391 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47526786720 in words is "forty-seven billion, five hundred twenty-six million, seven hundred eighty-six thousand, seven hundred twenty".