672628199040 has 1536 divisors, whose sum is σ = 2994001920000. Its totient is φ = 140819005440.

The previous prime is 672628199029. The next prime is 672628199063. The reversal of 672628199040 is 40991826276.

672628199040 is a `hidden beast` number, since 6 + 7 + 2 + 628 + 1 + 9 + 9 + 0 + 4 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 641208436 + ... + 641209484.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220000).

Almost surely, 2^672628199040 is an apocalyptic number.

672628199040 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 672628199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960000).

672628199040 is an abundant number, since it is smaller than the sum of its proper divisors (2321373720960).

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

672628199040 is a wasteful number, since it uses less digits than its factorization.

672628199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 672628199040 in words is "six hundred seventy-two billion, six hundred twenty-eight million, one hundred ninety-nine thousand, forty".