620065670400 has 1728 divisors, whose sum is σ = 2715426201600. Its totient is φ = 136691712000.

The previous prime is 620065670387. The next prime is 620065670443. The reversal of 620065670400 is 4076560026.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-4 number, since 4×620065670400⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001721291 + ... + 1001721909.

It is an arithmetic number, because the mean of its divisors is an integer number (1571427200).

Almost surely, 2^620065670400 is an apocalyptic number.

620065670400 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 620065670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357713100800).

620065670400 is an abundant number, since it is smaller than the sum of its proper divisors (2095360531200).

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

620065670400 is a wasteful number, since it uses less digits than its factorization.

620065670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 620065670400 in words is "six hundred twenty billion, sixty-five million, six hundred seventy thousand, four hundred".