5007674327040 has 2160 divisors, whose sum is σ = 22659912422784. Its totient is φ = 1040555704320.

The previous prime is 5007674327039. The next prime is 5007674327057. The reversal of 5007674327040 is 407234767005.

5007674327040 is a `hidden beast` number, since 50 + 0 + 7 + 67 + 432 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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, 455243120635 + ... + 455243120645.

Almost surely, 2^{5007674327040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007674327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11329956211392).

5007674327040 is an abundant number, since it is smaller than the sum of its proper divisors (17652238095744).

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

5007674327040 is an frugal number, since it uses more digits than its factorization.

5007674327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 5007674327040 in words is "five trillion, seven billion, six hundred seventy-four million, three hundred twenty-seven thousand, forty".