73783463602464 has 1152 divisors, whose sum is σ = 284042361028608. Its totient is φ = 17602450145280.

The previous prime is 73783463602451. The next prime is 73783463602531. The reversal of 73783463602464 is 46420636438737.

73783463602464 is a `hidden beast` number, since 7 + 3 + 78 + 3 + 46 + 3 + 60 + 2 + 464 = 666.

It is a super-2 number, since 2×73783463602464² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1270500532 + ... + 1270558604.

It is an arithmetic number, because the mean of its divisors is an integer number (246564549504).

Almost surely, 2^{73783463602464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73783463602464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142021180514304).

73783463602464 is an abundant number, since it is smaller than the sum of its proper divisors (210258897426144).

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

73783463602464 is a wasteful number, since it uses less digits than its factorization.

73783463602464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58230 (or 58219 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 63.

The spelling of 73783463602464 in words is "seventy-three trillion, seven hundred eighty-three billion, four hundred sixty-three million, six hundred two thousand, four hundred sixty-four".