4764073097952 has 192 divisors, whose sum is σ = 16427838873600. Its totient is φ = 1314227013120.

The previous prime is 4764073097947. The next prime is 4764073097969. The reversal of 4764073097952 is 2597903704674.

4764073097952 is a `hidden beast` number, since 476 + 4 + 0 + 73 + 0 + 9 + 7 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4764073097952.

It is a congruent number.

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, 13405824 + ... + 13756607.

It is an arithmetic number, because the mean of its divisors is an integer number (85561660800).

Almost surely, 2^{4764073097952} is an apocalyptic number.

4764073097952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4764073097952 is an abundant number, since it is smaller than the sum of its proper divisors (11663765775648).

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

4764073097952 is a wasteful number, since it uses less digits than its factorization.

4764073097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27162486 (or 27162472 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 4764073097952 in words is "four trillion, seven hundred sixty-four billion, seventy-three million, ninety-seven thousand, nine hundred fifty-two".