4077670367232 has 1600 divisors, whose sum is σ = 16077926304000. Its totient is φ = 998831554560.

The previous prime is 4077670367227. The next prime is 4077670367237. The reversal of 4077670367232 is 2327630767704.

It is a happy number.

4077670367232 is a `hidden beast` number, since 40 + 7 + 7 + 6 + 7 + 0 + 367 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (4077670367227) and next prime (4077670367237).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077670367237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94829543403 + ... + 94829543445.

It is an arithmetic number, because the mean of its divisors is an integer number (10048703940).

Almost surely, 2^{4077670367232} is an apocalyptic number.

4077670367232 is a gapful number since it is divisible by the number (42) 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 4077670367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038963152000).

4077670367232 is an abundant number, since it is smaller than the sum of its proper divisors (12000255936768).

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

4077670367232 is an frugal number, since it uses more digits than its factorization.

4077670367232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 4077670367232 in words is "four trillion, seventy-seven billion, six hundred seventy million, three hundred sixty-seven thousand, two hundred thirty-two".