1007699616000 has 3456 divisors, whose sum is σ = 5007644328960. Its totient is φ = 197074944000.

The previous prime is 1007699615999. The next prime is 1007699616019. The reversal of 1007699616000 is 6169967001.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59276447992 + ... + 59276448008.

It is an arithmetic number, because the mean of its divisors is an integer number (1448971160).

Almost surely, 2^{1007699616000} is an apocalyptic number.

1007699616000 is a gapful number since it is divisible by the number (10) 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 1007699616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503822164480).

1007699616000 is an abundant number, since it is smaller than the sum of its proper divisors (3999944712960).

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

1007699616000 is an frugal number, since it uses more digits than its factorization.

1007699616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1007699616000 in words is "one trillion, seven billion, six hundred ninety-nine million, six hundred sixteen thousand".