1064495615904 has 480 divisors, whose sum is σ = 3728532487680. Its totient is φ = 291490762752.

The previous prime is 1064495615881. The next prime is 1064495615977. The reversal of 1064495615904 is 4095165944601.

1064495615904 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 49 + 5 + 6 + 1 + 590 + 4 = 666.

It is a super-2 number, since 2×1064495615904² (a number of 25 digits) contains 22 as substring.

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

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, 72078729 + ... + 72093495.

It is an arithmetic number, because the mean of its divisors is an integer number (7767776016).

Almost surely, 2^{1064495615904} is an apocalyptic number.

1064495615904 is a gapful number since it is divisible by the number (14) 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 1064495615904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864266243840).

1064495615904 is an abundant number, since it is smaller than the sum of its proper divisors (2664036871776).

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

1064495615904 is a wasteful number, since it uses less digits than its factorization.

1064495615904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1064495615904 in words is "one trillion, sixty-four billion, four hundred ninety-five million, six hundred fifteen thousand, nine hundred four".