70649640000 has 315 divisors, whose sum is σ = 253622051683. Its totient is φ = 18797376000.

The previous prime is 70649639981. The next prime is 70649640001. The reversal of 70649640000 is 4694607.

The square root of 70649640000 is 265800.

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

70649640000 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 9 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5538931776 + 65110708224 = 74424^2 + 255168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70649640001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159479779 + ... + 159480221.

Almost surely, 2^70649640000 is an apocalyptic number.

70649640000 is the 265800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70649640000

70649640000 is an abundant number, since it is smaller than the sum of its proper divisors (182972411683).

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

70649640000 is an frugal number, since it uses more digits than its factorization.

70649640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 70649640000 by its sum of digits (36), we get a square (2543387040000 = 1594800²).

70649640000 divided by its sum of digits (36) gives a square (1962490000 = 44300²).

It can be divided in two parts, 706496 and 40000, that added together give a square (746496 = 864²).

The spelling of 70649640000 in words is "seventy billion, six hundred forty-nine million, six hundred forty thousand".