947532479040 has 2240 divisors, whose sum is σ = 4251500605440. Its totient is φ = 195641671680.

The previous prime is 947532478967. The next prime is 947532479051. The reversal of 947532479040 is 40974235749.

947532479040 is a `hidden beast` number, since 9 + 475 + 3 + 2 + 47 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6035238642 + ... + 6035238798.

Almost surely, 2^947532479040 is an apocalyptic number.

947532479040 is a gapful number since it is divisible by the number (90) 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 947532479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125750302720).

947532479040 is an abundant number, since it is smaller than the sum of its proper divisors (3303968126400).

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

947532479040 is a wasteful number, since it uses less digits than its factorization.

947532479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 947532479040 in words is "nine hundred forty-seven billion, five hundred thirty-two million, four hundred seventy-nine thousand, forty".