47481164640 has 864 divisors, whose sum is σ = 208616990400. Its totient is φ = 9740279808.

The previous prime is 47481164629. The next prime is 47481164657. The reversal of 47481164640 is 4646118474.

47481164640 is a `hidden beast` number, since 4 + 7 + 481 + 164 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×47481164640³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33938661 + ... + 33940059.

It is an arithmetic number, because the mean of its divisors is an integer number (241454850).

Almost surely, 2^47481164640 is an apocalyptic number.

47481164640 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 47481164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104308495200).

47481164640 is an abundant number, since it is smaller than the sum of its proper divisors (161135825760).

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

47481164640 is a wasteful number, since it uses less digits than its factorization.

47481164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47481164640 in words is "forty-seven billion, four hundred eighty-one million, one hundred sixty-four thousand, six hundred forty".