102002964480 has 288 divisors, whose sum is σ = 361061064000. Its totient is φ = 26620919808.

The previous prime is 102002964467. The next prime is 102002964509. The reversal of 102002964480 is 84469200201.

102002964480 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 2 + 9 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4319746 + ... + 4343294.

It is an arithmetic number, because the mean of its divisors is an integer number (1253684250).

Almost surely, 2^102002964480 is an apocalyptic number.

102002964480 is a gapful number since it is divisible by the number (10) 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 102002964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530532000).

102002964480 is an abundant number, since it is smaller than the sum of its proper divisors (259058099520).

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

102002964480 is a wasteful number, since it uses less digits than its factorization.

102002964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23629 (or 23606 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 102002964480 in words is "one hundred two billion, two million, nine hundred sixty-four thousand, four hundred eighty".