670828677120 has 1152 divisors, whose sum is σ = 2901980390400. Its totient is φ = 145190486016.

The previous prime is 670828677107. The next prime is 670828677131. The reversal of 670828677120 is 21776828076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×670828677120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 330945547 + ... + 330947573.

It is an arithmetic number, because the mean of its divisors is an integer number (2519080200).

Almost surely, 2^670828677120 is an apocalyptic number.

670828677120 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 670828677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450990195200).

670828677120 is an abundant number, since it is smaller than the sum of its proper divisors (2231151713280).

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

670828677120 is a wasteful number, since it uses less digits than its factorization.

670828677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 670828677120 in words is "six hundred seventy billion, eight hundred twenty-eight million, six hundred seventy-seven thousand, one hundred twenty".