766478721536 has 320 divisors, whose sum is σ = 1792610265600. Its totient is φ = 323747020800.

The previous prime is 766478721529. The next prime is 766478721559. The reversal of 766478721536 is 635127874667.

It is a super-2 number, since 2×766478721536² (a number of 25 digits) contains 22 as substring.

Its product of digits (71124480) is a multiple of the sum of its prime divisors (735).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874030900 + ... + 1874031308.

It is an arithmetic number, because the mean of its divisors is an integer number (5601907080).

Almost surely, 2^766478721536 is an apocalyptic number.

766478721536 is a gapful number since it is divisible by the number (76) 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 766478721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896305132800).

766478721536 is an abundant number, since it is smaller than the sum of its proper divisors (1026131544064).

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

766478721536 is a wasteful number, since it uses less digits than its factorization.

766478721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 62.

The spelling of 766478721536 in words is "seven hundred sixty-six billion, four hundred seventy-eight million, seven hundred twenty-one thousand, five hundred thirty-six".