670751642663400 has 192 divisors, whose sum is σ = 2201936300985600. Its totient is φ = 168323131432960.

The previous prime is 670751642663341. The next prime is 670751642663429. The reversal of 670751642663400 is 4366246157076.

It is a happy number.

It is a super-2 number, since 2×670751642663400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72428689 + ... + 81162911.

It is an arithmetic number, because the mean of its divisors is an integer number (11468418234300).

Almost surely, 2^{670751642663400} is an apocalyptic number.

670751642663400 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 670751642663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100968150492800).

670751642663400 is an abundant number, since it is smaller than the sum of its proper divisors (1531184658322200).

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

670751642663400 is a wasteful number, since it uses less digits than its factorization.

670751642663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741788 (or 8741779 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 670751642663400 in words is "six hundred seventy trillion, seven hundred fifty-one billion, six hundred forty-two million, six hundred sixty-three thousand, four hundred".