70609400643600 has 4455 divisors, whose sum is σ = 338279487057783. Its totient is φ = 14113712471040.

The previous prime is 70609400643583. The next prime is 70609400643611. The reversal of 70609400643600 is 634600490607.

The square root of 70609400643600 is 8402940.

It is a perfect power (a square), and thus also a powerful number.

70609400643600 is a `hidden beast` number, since 7 + 0 + 609 + 4 + 0 + 0 + 6 + 4 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18199677467664 + 52409723175936 = 4266108^2 + 7239456^2 .

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 890 ways as a sum of consecutive naturals, for example, 3716284244391 + ... + 3716284244409.

Almost surely, 2^{70609400643600} is an apocalyptic number.

70609400643600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

70609400643600 is the 8402940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70609400643600

70609400643600 is an abundant number, since it is smaller than the sum of its proper divisors (267670086414183).

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

70609400643600 is a wasteful number, since it uses less digits than its factorization.

70609400643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 70609400643600 in words is "seventy trillion, six hundred nine billion, four hundred million, six hundred forty-three thousand, six hundred".