1207077873408 has 648 divisors, whose sum is σ = 3997253594880. Its totient is φ = 360714332160.

The previous prime is 1207077873403. The next prime is 1207077873451. The reversal of 1207077873408 is 8043787707021.

1207077873408 is a `hidden beast` number, since 1 + 20 + 70 + 77 + 87 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (1207077873401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1459585891 + ... + 1459586717.

Almost surely, 2^{1207077873408} is an apocalyptic number.

1207077873408 is a gapful number since it is divisible by the number (18) 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 1207077873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998626797440).

1207077873408 is an abundant number, since it is smaller than the sum of its proper divisors (2790175721472).

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

1207077873408 is an frugal number, since it uses more digits than its factorization.

1207077873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 1207077873408 in words is "one trillion, two hundred seven billion, seventy-seven million, eight hundred seventy-three thousand, four hundred eight".