47748507665040 has 960 divisors, whose sum is σ = 200896850778624. Its totient is φ = 9895305019392.

The previous prime is 47748507664889. The next prime is 47748507665107. The reversal of 47748507665040 is 4056670584774.

47748507665040 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 8 + 50 + 76 + 6 + 504 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 940776304 + ... + 940827056.

Almost surely, 2^{47748507665040} is an apocalyptic number.

47748507665040 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 47748507665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100448425389312).

47748507665040 is an abundant number, since it is smaller than the sum of its proper divisors (153148343113584).

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

47748507665040 is a wasteful number, since it uses less digits than its factorization.

47748507665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51048 (or 51039 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 47748507665040 in words is "forty-seven trillion, seven hundred forty-eight billion, five hundred seven million, six hundred sixty-five thousand, forty".