4736669162400 has 1728 divisors, whose sum is σ = 20532935808000. Its totient is φ = 1050163107840.

The previous prime is 4736669162389. The next prime is 4736669162429. The reversal of 4736669162400 is 42619666374.

It is a happy number.

It is a super-2 number, since 2×4736669162400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9056728539 + ... + 9056729061.

It is an arithmetic number, because the mean of its divisors is an integer number (11882486000).

Almost surely, 2^{4736669162400} is an apocalyptic number.

4736669162400 is a gapful number since it is divisible by the number (40) 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 4736669162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266467904000).

4736669162400 is an abundant number, since it is smaller than the sum of its proper divisors (15796266645600).

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

4736669162400 is a wasteful number, since it uses less digits than its factorization.

4736669162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 4736669162400 in words is "four trillion, seven hundred thirty-six billion, six hundred sixty-nine million, one hundred sixty-two thousand, four hundred".