332149005077760 has 2160 divisors, whose sum is σ = 1431221250412800. Its totient is φ = 72898714533888.

The previous prime is 332149005077723. The next prime is 332149005077803. The reversal of 332149005077760 is 67770500941233.

332149005077760 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 4 + 9 + 0 + 0 + 507 + 77 + 60 = 666.

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

It is a super-2 number, since 2×332149005077760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 332149005077697 and 332149005077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7400967001 + ... + 7401011879.

Almost surely, 2^{332149005077760} is an apocalyptic number.

332149005077760 is a gapful number since it is divisible by the number (30) 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 332149005077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715610625206400).

332149005077760 is an abundant number, since it is smaller than the sum of its proper divisors (1099072245335040).

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

332149005077760 is a wasteful number, since it uses less digits than its factorization.

332149005077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44978 (or 44938 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 332149005077760 in words is "three hundred thirty-two trillion, one hundred forty-nine billion, five million, seventy-seven thousand, seven hundred sixty".