4670279752320 has 1152 divisors, whose sum is σ = 20951838311040. Its totient is φ = 985356804096.

The previous prime is 4670279752279. The next prime is 4670279752321. The reversal of 4670279752320 is 232579720764.

It is a happy number.

4670279752320 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 2 + 7 + 97 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (4670279752321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99042669 + ... + 99089811.

It is an arithmetic number, because the mean of its divisors is an integer number (18187359645).

Almost surely, 2^{4670279752320} is an apocalyptic number.

4670279752320 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 4670279752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475919155520).

4670279752320 is an abundant number, since it is smaller than the sum of its proper divisors (16281558558720).

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

4670279752320 is a wasteful number, since it uses less digits than its factorization.

4670279752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47204 (or 47173 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 4670279752320 in words is "four trillion, six hundred seventy billion, two hundred seventy-nine million, seven hundred fifty-two thousand, three hundred twenty".