710074026042672 has 320 divisors, whose sum is σ = 1905100017795072. Its totient is φ = 227661767424000.

The previous prime is 710074026042671. The next prime is 710074026042673. The reversal of 710074026042672 is 276240620470017.

It is an interprime number because it is at equal distance from previous prime (710074026042671) and next prime (710074026042673).

It is a super-3 number, since 3×710074026042672³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (710074026042671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469936482397 + ... + 469936483907.

Almost surely, 2^{710074026042672} 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 710074026042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952550008897536).

710074026042672 is an abundant number, since it is smaller than the sum of its proper divisors (1195025991752400).

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

710074026042672 is a wasteful number, since it uses less digits than its factorization.

710074026042672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 710074026042672 in words is "seven hundred ten trillion, seventy-four billion, twenty-six million, forty-two thousand, six hundred seventy-two".