607172966400 has 1728 divisors, whose sum is σ = 2723000716800. Its totient is φ = 116136345600.

The previous prime is 607172966341. The next prime is 607172966441. The reversal of 607172966400 is 4669271706.

It is a super-2 number, since 2×607172966400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 607172966400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1691289421 + ... + 1691289779.

It is an arithmetic number, because the mean of its divisors is an integer number (1575810600).

Almost surely, 2^607172966400 is an apocalyptic number.

607172966400 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 607172966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361500358400).

607172966400 is an abundant number, since it is smaller than the sum of its proper divisors (2115827750400).

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

607172966400 is a wasteful number, since it uses less digits than its factorization.

607172966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 607172966400 in words is "six hundred seven billion, one hundred seventy-two million, nine hundred sixty-six thousand, four hundred".