764968050000 has 1800 divisors, whose sum is σ = 3491957500416. Its totient is φ = 158241600000.

The previous prime is 764968049999. The next prime is 764968050001. The reversal of 764968050000 is 50869467.

764968050000 is a `hidden beast` number, since 7 + 64 + 9 + 6 + 80 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (764968049999) and next prime (764968050001).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×764968050000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764968050001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3430349889 + ... + 3430350111.

Almost surely, 2^764968050000 is an apocalyptic number.

764968050000 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 764968050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745978750208).

764968050000 is an abundant number, since it is smaller than the sum of its proper divisors (2726989450416).

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

764968050000 is a wasteful number, since it uses less digits than its factorization.

764968050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 76496 and 8050000, that added together give a triangular number (8126496 = T₄₀₃₁).

The spelling of 764968050000 in words is "seven hundred sixty-four billion, nine hundred sixty-eight million, fifty thousand".