70906661280 has 1152 divisors, whose sum is σ = 315911232000. Its totient is φ = 14923948032.

The previous prime is 70906661257. The next prime is 70906661281. The reversal of 70906661280 is 8216660907.

It is a super-2 number, since 2×70906661280² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (70906661281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173365716 + ... + 173366124.

It is an arithmetic number, because the mean of its divisors is an integer number (274228500).

Almost surely, 2^70906661280 is an apocalyptic number.

70906661280 is a gapful number since it is divisible by the number (70) 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 70906661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157955616000).

70906661280 is an abundant number, since it is smaller than the sum of its proper divisors (245004570720).

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

70906661280 is a wasteful number, since it uses less digits than its factorization.

70906661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 70906661280 in words is "seventy billion, nine hundred six million, six hundred sixty-one thousand, two hundred eighty".