76466754000 has 2160 divisors, whose sum is σ = 367234620480. Its totient is φ = 15284505600.

The previous prime is 76466753983. The next prime is 76466754031. The reversal of 76466754000 is 45766467.

It is a happy number.

76466754000 is a `hidden beast` number, since 7 + 6 + 46 + 67 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4024565991 + ... + 4024566009.

It is an arithmetic number, because the mean of its divisors is an integer number (170016028).

Almost surely, 2^76466754000 is an apocalyptic number.

76466754000 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 76466754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183617310240).

76466754000 is an abundant number, since it is smaller than the sum of its proper divisors (290767866480).

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

76466754000 is a wasteful number, since it uses less digits than its factorization.

76466754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 76466754000 in words is "seventy-six billion, four hundred sixty-six million, seven hundred fifty-four thousand".