1007694535680 has 880 divisors, whose sum is σ = 4143783695040. Its totient is φ = 229387272192.

The previous prime is 1007694535609. The next prime is 1007694535697. The reversal of 1007694535680 is 865354967001.

1007694535680 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 69 + 453 + 56 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 908650966 + ... + 908652074.

It is an arithmetic number, because the mean of its divisors is an integer number (4708845108).

Almost surely, 2^{1007694535680} is an apocalyptic number.

1007694535680 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 1007694535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071891847520).

1007694535680 is an abundant number, since it is smaller than the sum of its proper divisors (3136089159360).

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

1007694535680 is a wasteful number, since it uses less digits than its factorization.

1007694535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1007694535680 in words is "one trillion, seven billion, six hundred ninety-four million, five hundred thirty-five thousand, six hundred eighty".