1006537764960 has 4032 divisors, whose sum is σ = 5064144261120. Its totient is φ = 186235822080.

The previous prime is 1006537764907. The next prime is 1006537764977. The reversal of 1006537764960 is 694677356001.

It is a happy number.

1006537764960 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 537 + 7 + 6 + 49 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1006537764897 and 1006537764906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 32468960145 + ... + 32468960175.

It is an arithmetic number, because the mean of its divisors is an integer number (1255988160).

Almost surely, 2^{1006537764960} is an apocalyptic number.

1006537764960 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 1006537764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532072130560).

1006537764960 is an abundant number, since it is smaller than the sum of its proper divisors (4057606496160).

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

1006537764960 is a wasteful number, since it uses less digits than its factorization.

1006537764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 1006537764960 in words is "one trillion, six billion, five hundred thirty-seven million, seven hundred sixty-four thousand, nine hundred sixty".