670952627400 has 384 divisors, whose sum is σ = 2310370698240. Its totient is φ = 159702144000.

The previous prime is 670952627393. The next prime is 670952627417. The reversal of 670952627400 is 4726259076.

670952627400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 670952627400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299130679 + ... + 299132921.

It is an arithmetic number, because the mean of its divisors is an integer number (6016590360).

Almost surely, 2^670952627400 is an apocalyptic number.

670952627400 is a gapful number since it is divisible by the number (60) 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 670952627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155185349120).

670952627400 is an abundant number, since it is smaller than the sum of its proper divisors (1639418070840).

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

670952627400 is a wasteful number, since it uses less digits than its factorization.

670952627400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 670952627400 in words is "six hundred seventy billion, nine hundred fifty-two million, six hundred twenty-seven thousand, four hundred".