70644529300900 has 243 divisors, whose sum is σ = 167296306040577. Its totient is φ = 25888837204800.

The previous prime is 70644529300889. The next prime is 70644529300901. The reversal of 70644529300900 is 900392544607.

The square root of 70644529300900 is 8405030.

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

It can be written as a sum of positive squares in only one way, i.e., 25432030548324 + 45212498752576 = 5043018^2 + 6724024^2 .

It is not an unprimeable number, because it can be changed into a prime (70644529300901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49505625987 + ... + 49505627413.

Almost surely, 2^{70644529300900} is an apocalyptic number.

70644529300900 is the 8405030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70644529300900

70644529300900 is an abundant number, since it is smaller than the sum of its proper divisors (96651776739677).

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

70644529300900 is a wasteful number, since it uses less digits than its factorization.

70644529300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 70644529300900 in words is "seventy trillion, six hundred forty-four billion, five hundred twenty-nine million, three hundred thousand, nine hundred".