70643890520064 has 609 divisors, whose sum is σ = 223570764080463. Its totient is φ = 22308597006336.

The previous prime is 70643890520017. The next prime is 70643890520101. The reversal of 70643890520064 is 46002509834607.

The square root of 70643890520064 is 8404992.

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

70643890520064 is a `hidden beast` number, since 70 + 6 + 43 + 8 + 9 + 0 + 520 + 0 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3718099501047 + ... + 3718099501065.

Almost surely, 2^{70643890520064} is an apocalyptic number.

70643890520064 is a droll number since its even prime factors and its odd prime factors have the same sum.

70643890520064 is the 8404992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70643890520064

70643890520064 is an abundant number, since it is smaller than the sum of its proper divisors (152926873560399).

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

70643890520064 is an frugal number, since it uses more digits than its factorization.

70643890520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 70643890520064 in words is "seventy trillion, six hundred forty-three billion, eight hundred ninety million, five hundred twenty thousand, sixty-four".