672084514805700 has 288 divisors, whose sum is σ = 2103529867277440. Its totient is φ = 165098862489600.

The previous prime is 672084514805699. The next prime is 672084514805713. The reversal of 672084514805700 is 7508415480276.

672084514805700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×672084514805700² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 340885944 + ... + 342851856.

Almost surely, 2^{672084514805700} is an apocalyptic number.

672084514805700 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 672084514805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051764933638720).

672084514805700 is an abundant number, since it is smaller than the sum of its proper divisors (1431445352471740).

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

672084514805700 is a wasteful number, since it uses less digits than its factorization.

672084514805700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967607 (or 1967600 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 672084514805700 in words is "six hundred seventy-two trillion, eighty-four billion, five hundred fourteen million, eight hundred five thousand, seven hundred".