1230679736832 has 640 divisors, whose sum is σ = 4497612134400. Its totient is φ = 289393606656.

The previous prime is 1230679736807. The next prime is 1230679736837. The reversal of 1230679736832 is 2386379760321.

It is a super-2 number, since 2×1230679736832² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1230679736837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45134019 + ... + 45161277.

It is an arithmetic number, because the mean of its divisors is an integer number (7027518960).

Almost surely, 2^{1230679736832} is an apocalyptic number.

1230679736832 is a gapful number since it is divisible by the number (12) 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 1230679736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248806067200).

1230679736832 is an abundant number, since it is smaller than the sum of its proper divisors (3266932397568).

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

1230679736832 is a wasteful number, since it uses less digits than its factorization.

1230679736832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27336 (or 27320 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 1230679736832 in words is "one trillion, two hundred thirty billion, six hundred seventy-nine million, seven hundred thirty-six thousand, eight hundred thirty-two".