4646002460640 has 96 divisors (see below), whose sum is σ = 14741732103840. Its totient is φ = 1229890658304.

The previous prime is 4646002460639. The next prime is 4646002460641. The reversal of 4646002460640 is 460642006464.

It is an interprime number because it is at equal distance from previous prime (4646002460639) and next prime (4646002460641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4646002460592 and 4646002460601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646002460641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35259685 + ... + 35391204.

It is an arithmetic number, because the mean of its divisors is an integer number (153559709415).

Almost surely, 2^{4646002460640} is an apocalyptic number.

4646002460640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4646002460640 is an abundant number, since it is smaller than the sum of its proper divisors (10095729643200).

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

4646002460640 is a wasteful number, since it uses less digits than its factorization.

4646002460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70651044 (or 70651036 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4646002460640 in words is "four trillion, six hundred forty-six billion, two million, four hundred sixty thousand, six hundred forty".