4970630343672 has 1280 divisors, whose sum is σ = 17958150144000. Its totient is φ = 1257091799040.

The previous prime is 4970630343649. The next prime is 4970630343677. The reversal of 4970630343672 is 2763430360794.

4970630343672 is a `hidden beast` number, since 49 + 70 + 6 + 30 + 3 + 436 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4970630343677) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24978041829 + ... + 24978042027.

It is an arithmetic number, because the mean of its divisors is an integer number (14029804800).

Almost surely, 2^{4970630343672} is an apocalyptic number.

4970630343672 is a gapful number since it is divisible by the number (42) 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 4970630343672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979075072000).

4970630343672 is an abundant number, since it is smaller than the sum of its proper divisors (12987519800328).

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

4970630343672 is a wasteful number, since it uses less digits than its factorization.

4970630343672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 4970630343672 in words is "four trillion, nine hundred seventy billion, six hundred thirty million, three hundred forty-three thousand, six hundred seventy-two".