764721742400 has 1008 divisors, whose sum is σ = 2467938875136. Its totient is φ = 228096000000.

The previous prime is 764721742373. The next prime is 764721742403. The reversal of 764721742400 is 4247127467.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764721742403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5064382325 + ... + 5064382475.

Almost surely, 2^764721742400 is an apocalyptic number.

764721742400 is a gapful number since it is divisible by the number (70) 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 764721742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233969437568).

764721742400 is an abundant number, since it is smaller than the sum of its proper divisors (1703217132736).

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

764721742400 is a wasteful number, since it uses less digits than its factorization.

764721742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 44.

Adding to 764721742400 its reverse (4247127467), we get a palindrome (768968869867).

The spelling of 764721742400 in words is "seven hundred sixty-four billion, seven hundred twenty-one million, seven hundred forty-two thousand, four hundred".