4646977965 has 288 divisors, whose sum is σ = 10758718080. Its totient is φ = 1889879040.

The previous prime is 4646977957. The next prime is 4646977967. The reversal of 4646977965 is 5697796464.

4646977965 is a `hidden beast` number, since 46 + 469 + 7 + 79 + 65 = 666.

It is not a de Polignac number, because 4646977965 - 2³ = 4646977957 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646977967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108069234 + ... + 108069276.

It is an arithmetic number, because the mean of its divisors is an integer number (37356660).

Almost surely, 2^4646977965 is an apocalyptic number.

4646977965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4646977965 is an abundant number, since it is smaller than the sum of its proper divisors (6111740115).

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

4646977965 is a wasteful number, since it uses less digits than its factorization.

4646977965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The square root of 4646977965 is about 68168.7462478224. The cubic root of 4646977965 is about 1668.7458719756.

The spelling of 4646977965 in words is "four billion, six hundred forty-six million, nine hundred seventy-seven thousand, nine hundred sixty-five".